But the City manager felt it could have been a different outcome if decisions from the officials had gone his team's way in both matches.
Trailing 3-0 from the first leg, City threatened a famous comeback when Gabriel Jesus scored after just two minutes, and Liverpool survived sustained pressure and a contentious offside call against Leroy Sane to ensure they were only a goal down at half-time.
If we gave them those second balls, they were already in the right place to make three or four passes. That's why he sent me off.
In the second half, Liverpool continued to frustrate City and eventually managed to equalise as Mohamed Salah finished a swift counter-attacking move.
But over two legs, City can have few complaints and were always up against it after conceding three goals in 19 first-half minutes at Anfield and failing to score an away goal.
"In this competition, the teams are so equal and the influence of refereeing decisions is so important".
As Georginio Wijnaldum told ESPN FC last month, Liverpool are about more than their front three, with the Dutch global midfielder insisting equal credit was due to the defenders, who have come under so much criticism this season.
Despite a strong showing from the Citizens, particularly in the first half, they once again fell short against Jurgen Klopp's improving Reds. "'Wow! Very big, very good.' Melwood, Liverpool's practice ground, must feel nearly Lilliputian in comparison". "Hopefully they can represent England well in the semi-final".
"Everyone knows how good Manchester City are so to beat them is a good confidence builder but we have to be better in the next round".
"Our 10-month winning spell is exceptional". You won't find a team who can keep the same momentum, the same rhythm, the same pace with this amount of games.
"It was quite hard tonight, again especially with the start". What have I just witnessed?' "I was expecting something like that but I liked the reaction immediately after that", Klopp told BT Sport.
'You saw the City line-up, they took all the risk.
"Now we are there together - so that's quite a cool moment and I'm really happy about it".
It was Liverpool whose approach turned out to be ideal in the circumstances as they followed up their staunch first-half defending to deliver the decisive blows, scoring through Salah in the 56th minute and Firmino 13 minutes from fulltime to clinch their third win against City this season. Klopp's side are not quite as obdurate as that of the Rafael Benitez team that won the Champion League in 2005, but they possess more flair and cutting edge and it is proving to be a ideal blend.