Two Can goals, Salah tap-in and Firmino strike for Liverpool
Substitute Uth and Wagner for Hoffenheim
Liverpool win 6-3 on aggregate
Liverpool are fifth Premier League side to reach group stage - draw on Thursday
Sandro Wagner
And they do pull one back.
Don't worry, there is no comeback on here, just a consolation from Hoffenheim.
Former Leicester man Andrej Kramaric cuts in from the left and chips a tantalising ball into the box which is met by the towering Sandro Wagner to plant a well-taken header past Simon Mignolet.
Statuesque Liverpool defending and their goalkeeper unmoved too.
Image source, ReutersLiverpool 4-1 Hoffenheim (agg: 6-2)
The visitors almost get their second of the night, but Kerim Demirbay's rasping drive is pushed out by Simon Mignolet.
It took a nick and the Belgian goalkeeper had to adjust to keep it out.
Liverpool 4-1 Hoffenheim (agg: 6-2)
Hoffenheim, to their credit, are still giving it a go.
They sneak in behind Alberto Moreno, but Benjamin Hubner's cross into the box evades all his team-mates.
Liverpool 4-1 Hoffenheim (agg: 6-2)
Are Liverpool sitting back? Wasting time?
No they are not.
Full steam ahead boys, looking for more goals.
Liverpool 4-1 Hoffenheim (agg: 6-2)
No hat-trick for Emre Can.
He is the man being taken off.
James Milner enters the action.
Can throws his shirt....no he doesn't. Chill.
Image source, ReutersLiverpool 4-1 Hoffenheim (agg: 6-2)
Mandeep Sanghera
BBC Sport at Anfield
Jurgen Klopp has hardly sat down all game and has been doing plenty of shouting and gesticulating from his technical area. He seems to have relaxed a bit after that as he produces a smile to his bench.
He also gives James Milner the nod to get ready to come on.
Image source, ReutersLiverpool 4-1 Hoffenheim (agg: 6-2)
Why has Jurgen Klopp still got Sadio Mane/Roberto Firmino on?
The game is done, get them off, wrap them in cotton wool and give Dominic Solanke and Daniel Sturridge a run out.
Liverpool 4-1 Hoffenheim (agg: 6-2)
"We won it five times, in Istanbul, we won it five times," sing the Liverpool supporters.
Liverpool 4-1 Hoffenheim (agg: 6-2)
Liverpool fans on Twitter were largely saying 'it is still not over' at half time.
Surely it is settled now, even with this defence?
Liverpool 4-1 Hoffenheim (agg: 6-2)
A change for each side after that goal.
Liverpool replace Joe Gomez with Trent Alexander-Arnold, while Jeremy Toljan comes on in place of Pavel Kaderabek for Hoffenheim.
Roberto Firmino
All over.
Welcome Champions League football, Liverpool fans.
Kerem Demirbay sells skipper Kevin Vogt with a short pass, and Jordan Henderson is onto it in a flash.
Instead of shooting, he rolls the ball across for Roberto Firmino to tuck into an open net.
Easy, peasy.
Image source, PALiverpool 3-1 Hoffenheim (agg: 5-2)
Simon Mignolet flapping.
He comes for a cross which Joel Matip heads into the air and Mignolet scrambles around looking for the ball.
It's above youuu.
The Belgian goalkeeper tries to catch it, but drops it and is lucky no Hoffenheim player is close to him, finally collecting the ball at the third attempt.
Liverpool 3-1 Hoffenheim (agg: 5-2)
Oliver Baunmann keeping this game at single figures for Hoffenheim.
The goalkeeper makes another save, this time from Georginio Wijnaldum's smashed shot from inside the box.
Liverpool 3-1 Hoffenheim (agg: 5-2)
Sadio Mane deserves a goal today and he rockets a drive in at the front post, but Olvier Baumann pushes the ball away with strong wrists.
The Hoffenheim goalkeeper would have been disappointed had that gone in.
Liverpool 3-1 Hoffenheim (agg: 5-2)
Again the Liverpool defence have not been convincing, allowing Mark Uth to shoot just wide from inside the box.
Another Hoffenheim change as Adam Szalai replaces Serge Gnabry, who heads down the tunnel.
Liverpool 3-1 Hoffenheim (agg: 5-2)
Nice play again from Liverpool and this should be the fourth.
The excellent Mohamed Salah flicks the ball into the path of Georginio Wijnaldum in the penalty area, but the Dutchman cannot keep his composure and blazes over.
It took a nick off Oliver Baumann's shoulder, but none of the officials spotted it.
Image source, ReutersLiverpool 3-1 Hoffenheim (agg: 5-2)
A shoulder charge is banned in rugby league now so Kevin Vogt is not going to get away with in football.
A cynical foul on Roberto Firmino and the yellow card is brandished towards the Hoffenheim captain.
Image source, ReutersLiverpool 3-1 Hoffenheim (agg: 5-2)
Mohamed Salah through on goal after breaking the Hoffenheim defensive line which is situated two yards off the half way line...
...but no.
The linesman's flag has gone up.
Liverpool 3-1 Hoffenheim (agg: 5-2)
Liverpool are not sitting back, they are piling men forward.
Trent Alexander-Arnold whips a lovely ball across the face of goal, but Roberto Firmino cannot get on the end of it.
Liverpool 3-1 Hoffenheim (agg: 5-2)
Terrible corner by Kerem Demirbay, failing to clear the first man.