Listen to Sportsound reaction
Neil picks spot after early near misses for Rangers; Kelsy unmarked at back post for second before Neil's stunning third
Hearts v Hibernian & Rangers v Aberdeen in semi-finals
FT: Rangers 3-0 Celtic
We'll leave it here, with Rangers celebrating an excellent victory over Celtic to set up a League Cup semi-final with Aberdeen.
Hearts and Hibs meet in the other semi.
The Edinburgh clubs are in action on Tuesday, with Hearts away to Falkirk and Hibs hosting Kilmarnock.
Motherwell take on Aberdeen too, so join us again for all of the action.
Image source, SNSFT: Rangers 3-0 Celtic
Peter Lovenkrands
Former Rangers striker on BBC Sportsound
Rangers cannot get carried away with themselves, they need to step up to the plate and keep going.
Celtic have got to play midweek and then Rangers again, there's going to be a huge amount of pressure on Celtic like there was on Rangers, that's now switched over because they've got two huge games coming up.
FT: Rangers 3-0 Celtic
Andy Halliday
Former Rangers midfielder on Premier Sports
Rangers have made a vast improvement in their organisation off the ball in the last few weeks and that was, without doubt, their best performance of the season.
They were on the front foot, with real aggression throughout.
FT: Rangers 3-0 Celtic
Rangers manager Derek McInnes tells BBC Scotland: "It was the performance and result we were all looking for. The game demanded a big performance and I thought we delivered on that. It's a good reference point for my players. They're a young squad and they saw how much that result means to the supporters.
"We'll enjoy today but the challenge at this club is to go and do it all again next week. We had to play well because Celtic have the quality that can change the game in a heartbeat.
"In the main, we deserved the win and scored at the right times, something we've not been doing a lot of.
"It doesn't guarantee anything, we've got to try and do it all again, and probably a bit more, next week. I know Dan (Neil) will be highlighted for his goals and rightly so but I thought the rest of the midfield were terrific.
"I expected a big performance from us, I hoped we would win the game if we got that. It's seven wins out of eight, five wins in a row, it doesn't feel like that sometimes.
"It's up to us to keep reinforcing the message that when you play at Rangers there's another big game round the corner, and that's what we've got next Sunday.
"I love the togetherness, I need to have this team who cares for each other, has love for each other. When things aren't going well you sometimes see the true strength. We've had some soul searching and tough times the past few weeks.
"It gives so much encouragement to the club, fans, the board as to what we're capable of."
Image source, SNSFT: Rangers 3-0 Celtic
Andy Halliday
Former Rangers midfielder on Premier Sports
Kasper Hogh has blown hot and cold for Celtic so far, but he was absolutely freezing today.
On the ball, off the ball - no desire, no willingness to get back and defend for his team.
FT: Rangers 3-0 Celtic
Pat Bonner
Former Celtic goalkeeper on BBC Sportsound
I was shocked at how well Rangers played but I was utterly shocked by how bad Celtic were.
It's bottle. When you come up against a good Rangers team, in this venue and don't have your fans, you've got to go out there and show you're taking responsibility.
The players up front, the players Celtic bought, those guys were awful today.
FT: Rangers 3-0 Celtic
Celtic manager Martin O'Neill tells BBC Scotland: "We were well beaten. The 3-0 scoreline doesn't hide it, it was a tough afternoon for us.
"We were well in the game early on, even at half time, but they were stronger than us on the day and they deserved to win.
"I think throughout the first half we, in really good positions, gave the ball away, we had three or four brilliant opportunities on the counter-attack and wasted them.
"Everything Rangers did I expected them to do. Whatever way Rangers set up, they're not going to give me a call and say what they're going to do so we had to counter that.
"Next Sunday will be a different ball game when we've got the home crowd with us and if they make the same sort of noise as Rangers made today that will be very helpful. We can learn from this and that's the most important thing. We need to.
"If you've been beaten in the game, you always think about selection. I will think about my own part in proceedings and then we'll see. I wanted people to experience this atmosphere and they certainly did.
"This is a setback and hopefully a learning curve for us."
Image source, SNSWhile you drink in the ramifications of that draw, we'll get to the thoughts of the managers at Ibrox.
Martin O'Neill is first up.
HEARTS v HIBERNIAN
RANGERS v ABERDEEN
Ties to be played on weekend of 31 October / 1 November
The semi-final draw is coming up.
This won't take long...
FT: Rangers 3-0 Celtic
Peter Lovenkrands
Former Rangers striker on BBC Sportsound
Dan Neil ran the show from the start. On the ball he never lost a pass, simple things, he was doing everything right. I've not seen a performance like that since Barry Ferguson in the way he controlled the midfield.
He dominated in and out of possession.
He popped up with goals, not just any goals, top class finishes. It was an outstanding performance.
FT: Rangers 3-0 Celtic
James Penrice had a storming afternoon for Rangers - up and down the pitch with incredible energy. He was everywhere.
Scotland are not short of options at left-back but surely he's knocking on the door for a place in Sebastien Pocognoli's first squad, which will be revealed on Tuesday.
Image source, SNSFT: Rangers 3-0 Celtic
Rangers midfielder and player of the match Dan Neil tells Premier Sports: "Brilliant. It was a great team performance. We fully deserved the victory out there.
"I don't score many goals. I thought the big man [Kevin Kelsy] was excellent today.
"In the last few games we've done well without the ball. Today we wanted to use the crowd and get after them - the lads executed it perfectly.
"We all believed in the plan. The gaffer is good before games and he made sure we were ready to run through brick walls.
"That togetherness and cohesion has really come on recently."
FT: Rangers 3-0 Celtic
These two will go head-to-head again at Celtic Park in the Scottish Premiership next Sunday.
Rangers will have a full week to feel good about this result, but Celtic need to regroup for Thursday's Europa League opener at home to Ferencvaros.
FT Rangers 3-0 Celtic
Martin Dowden
BBC Sport Scotland at Ibrox
Rangers fully deserve this statement win. Celtic deserve what they got, nothing.
A huge day for Rangers, Derek McInnes and these long-suffering home supporters.
It wasn't just a win, a semi-final place earned. It was a show of dominance that they will now look to sustain.
Celtic will no doubt respond but they face so many questions after a display was way off what was required.
Image source, SNSRangers manager Derek McInnes celebrates
FT: Rangers 3-0 Celtic
Rangers join Aberdeen, Hearts and Hibs in the last four.
The draw will be coming up shortly.
Rangers march into the semi-finals of the Premier Sports Cup after swatting aside their old rivals.
Dan Neil scored two cracking goals either side of a Kevin Kelsy strike - and the margin of victory could have been bigger.
Celtic just weren't at the races.
Image source, SNSRangers 3-0 Celtic
Four minutes of stoppage time to go as jolly jeers greet a wayward shot from Celtic's Alex Oxlaide-Chamberlain.
Rangers 3-0 Celtic
Pat Bonner
Former Celtic goalkeeper on BBC Sportsound
Celtic haven't performed at all. There's big question marks over some of the players.
Rangers 3-0 Celtic
Findlay Curtis takes aim for the bottom corner and Sam Johnstone needs to push the dipping shot away as the one-way traffic continues.
At a glance
Neil double and Kelsy strike earns Rangers emphatic win
Ibrox side dominate throughout in front of 50,000 home fans
Celtic overrun in deserved defeat to end treble hopes
Rangers progressed to the Premier Sports Cup semi-finals as they delivered an emphatic and dominant win over Celtic at Ibrox.
Captain Dan Neil's superb double, sandwiched by Kevin Kelsy's thumping half-volley, left an insipid Celtic well beaten, chasing answers throughout as the hosts advanced to meet Aberdeen.
Victory delivered a dream Old Firm managerial debut for Derek McInnes who has overseen a sharp upturn in form and results after early season struggles.
With no away supporters, 50,000 home fans lapped up a performance during which Martin O'Neill's men were found wanting ahead of a league meeting at Celtic Park between the sides next Sunday.
This is the type of occasion Rangers just haven't got through in recent years. They ripped up that script at Ibrox.
O'Neill opted for Sam Johnstone in goal and he looked more than uncomfortable from the off. It seemed Celtic hadn't expected how Rangers would set up and they were relentlessly punished.
Ryan Naderi did well to feed Kelsy who in turn laid the ball off to Neil all alone outside the penalty. His finish into the corner showed genuine class.
The pressure rarely stopped. Kelsy scored his first goal for Rangers when he drifted to the back post and fired a superb shot in off the near post.
Emmanuel Fernandez thought he had a third but was ruled offside. However, another arrived when Neil gathered and sent a beautiful curling shot beyond Johnstone into the top corner to send Ibrox wild.
Derek McInnes got his tactics spot on and clearly had his players absolutely on point as to what it would take to dispose of Celtic.
Their intensity was clear. Their gameplan effective. They were dangerous throughout and prepared to take a risk, relying on individuals to win their battles.
Rangers fans drooled as Celtic looked dumbfounded.
It is such a big moment for Rangers and McInnes after early season woes. Any doubters watching this will be having rapid rethinks.
This is exactly the type of occasion Rangers have fallen short in repeatedly. Not here, and now they have engineered a real chance of silverware ahead of travelling to Celtic on league business next weekend.
There were so many big performances, capped by an outstanding display from captain Neil, who arrived as a Rangers player on the biggest stage to seal a very significant victory for the club.
For all that Rangers performed well and came up with a tactical plan that paid off, Celtic were second best by some distance. The levels between them were stark.
Early errors handed Rangers huge encouragement but they just never got going.
O'Neill spoke about characters in this side pre-match, but too many appeared to vanish when the going got tough, in stark contrast to what Celtic usually do on domestic occasions like this.
Celtic's starting selection didn't work with Camilo Duran nullified on the right and Sebastian Tounekti ineffective down the left.
The absence of Hassan raised eyebrows and more so as time ticked on. When introduced at half-time, there was little impact. Sam Johnstone did not look at all comfortable in goal.
New signings didn't deliver. Experienced faces equally so. It was startling how poor their performance was.
Celtic have earned league wins without, in the main, excelling.
This was a sharp, sore lesson with a big, big response required this week both in Europe and against Rangers at home next weekend.
Rangers manager Derek McInnes tells BBC Scotland: "It was the performance and result we were all looking for. The game demanded a big performance and I thought we delivered on that. It's a good reference point for my players.
"They're a young squad and they saw how much that result means to the supporters."
Celtic manager Martin O'Neill tells BBC Scotland: "We were well beaten. The 3-0 scoreline doesn't hide it, it was a tough afternoon for us.
"We were well in the game early on, even at half time, but they were stronger than us on the day and they deserved to win.
"I think throughout the first half we, in really good positions, gave the ball away, we had three or four brilliant opportunities on the counter-attack and wasted them."
Manager:Derek McInnes
Formation:4 - 4 - 1 - 1
Manager:Martin O'Neill
Formation:4 - 3 - 3
Manager:Derek McInnes
Formation:4 - 4 - 1 - 1
Manager:Martin O'Neill
Formation:4 - 3 - 3
League Cup
All competitions
All competitions
