Sadio Mane scored the only goal of a controversial clash at Anfield as Liverpool extended their unbeaten run at home in the league to 50 games.
Liverpool needed the aid of VAR to re-establish their 13-point lead at the top of the Premier League with a 1-0 win over Wolves on Sunday.
Mane’s strike three minutes before half-time was initially ruled out for a handball by Adam Lallana in the build-up, but a VAR review overturned referee Anthony Taylor’s on-field decision.
“If it would be easy to win that number of games a lot more teams would have done it,” said Liverpool boss Jurgen Klopp.
“It is not easy and you have to fight with all you have. Sometimes we have more and sometimes less and the boys do that all the time, so I couldn’t be more proud of what they did again.”
After Mane’s goal Wolves thought they had leveled when Pedro Nieto fired low past Alisson Becker, but again the VAR review went against the visitors as the goal was ruled out for a fractional offside against Jonny.
“We feel massively hard done by, I can’t get my head around it. It is ridiculous,” said Wolves captain Connor Coady.
“For me it is not working. Some people are saying it gets the right decision but we’re the players on the pitch and it doesn’t feel right to me.”
Wolves had less than 48 hours to recover from a thrilling 3-2 victory over City on Friday, but still had plenty of chances to secure at least a point after the break as Becker denied Diogo Jota before Raul Jimenez and Adama Traore had shots deflected wide in the closing stages.
Just a second league defeat in 15 games means Wolves fall five points behind Chelsea in the fight for a top-four finish.
Manchester City remain 14 points adrift of the runaway league leaders, but closed the gap on second-placed Leicester thanks to second-half goals from Sergio Aguero and Kevin de Bruyne to beat Sheffield United 2-0 on Sunday at the Etihad Stadium.