That's a wrap from this live page tonight.
Head over to the BBC Football page for all of the match reports and reaction from across the League Cup and Europe.
BBC Sport chief football writer
"Large glass of whatever Adam Bogdan wants from Brendan Rodgers after that - but not a night to ease any pressure on Liverpool's manager."
Still no word from Brendan Rodgers or Keith Curle. A late night for all at Anfield.
Dejan Lovren's injury looks like an ankle problem, by the way. We'll bring you any news when we get it.
Brendan Rodgers was under pressure before tonight's game. What does that result, and performance, do for him?
Adam Bogdan drags Liverpool into round four of the League Cup with a hat-trick of saves. Hard lines Carlisle United, a sterling effort but it's not quite enough.
Liverpool go on to face Bournemouth.
Different coloured boots, a bright pink topknot - you didn't fancy Bastien Hery and his penalty is tame. Another save from Adam Bogdan and Liverpool are through...
Down the middle. Solid option.
Top corner. Pretty much perfect.
Keeper was going the wrong way but sticks out a hand and makes a great save.
Cracking save from Adam Bogdan - best save yet - diving to his right.
Mark Kennedy dives to his left and makes an excellent low save.
Just. Just. Adam Bogdan - on his debut - gets a finger to it.
Hello. Chipped casually down the middle. When that one goes wrong...except it doesn't.
Adam Bogdan dives to his right and makes an excellent save.
Sends the keeper the wrong way. Cool.
The penalties are being taken at the Anfield Road End. Away end...
Keith Curle and Brendan Rodgers are around their respective teams, notepad in hand.
"We need five names lads. Anyone?"
What a story! Five years ago Northampton Town won a penalty shootout at Anfield. Now it's Carlisle's turn.
Can they win this?
Great defending again. Liverpool corner...
Carlisle midfielder Alex Gilliead from a mile out! Just wide!
Carlisle defend a corner manfully. The stats say that Liverpool have had 46 shots on goal tonight but it has not felt particularly like that.
That does not look good for Dejan Lovren as he is on the gas and air and leaving the field on a stretcher. A rich round of applause and a touch on the shoulder from Brendan Rodgers, the game restarts. There were around three minutes of the 120 left when the defender went down.
Richard Mellor: Brendan (surely): "There are no easy matches in this competition"
Tom Hughes: "Now is the time to rebuild" (again)
A stretcher is on for Dejan Lovren now. He certainly won't be taking a penalty as the clock is stopped. This could be a lengthy stoppage.
Dejan Lovren is down and struggling for Liverpool. They have used all of their subs. Will they have to end with 10 men?
GoalsGalore: I've got "we'll take the positives, learn and move on" post match interview.
Ben Peterson: I'm having "we go again" in the post match interview sweepstake
Dan Pilkington: "We had lots of good chances,""we were unlucky."
Danny Ings is doing his level best, shooting over on the stretch again.
Eight minutes of normal time remain. A famous night - potentially - for Carlisle.
Dominick Mastrangelo: I've got "We lacked that little bit of quality in the final third" in the post-match interview sweepstakes.
There is a chance now! Danny Ings is played in over the top and he has the pace to get away - but he hooks a shot high and wide.
Rich applause from the stands and a chant for Ings too.
Carlisle have been so comfortable during extra-time. They are now just 10 minutes away from a penalty shootout. Or do they fancy a late winner?
Tottenham manager Mauricio Pochettino speaking to Sky Sports: "I feel bad for the result but not for the performance. It was a good game.
"We were unlucky to concede the goals we did. In the second half we dominated the game. There are a lot of positive things we have to take into the game on Saturday.
"Harry Kane had some chances to score but was a little bit unlucky."
Brian Kirwan: Not just Rodgers should hang his head in shame, but the whole squad. Not good enough
The final 15 minutes is under way. Penalties?
Matt Harper: Bournemouth with a long trip to Carlisle then!
John Blenkharn: It has been a great week for shock sports results. Hopefully Carlisle can follow in Japan's footsteps