Eighth-placed United are now 12 points behind leaders City and 12 ahead of Cardiff City who are in the relegation zone.
Pep Guardiola's men got off to the flawless start when the two Silvas combined - Bernardo passing to David - to score in the 13th minute though they had to wait until early in the second half to extend their lead when Sergio Aguero finished off a lovely one-two with Riyad Mahrez.
"I like a lot when he played", Guardiola said. "I don't go for stats". "I'm not happy of course but we are going the right way".
Although his side's only shot on target was the second-half penalty Anthony Martial scored in response to goals from David Silva and Sergio Agüero, he denied the 3-1 scoreline reflected the game.
Ederson felled Romelu Lukaku after rushing out, a similar error to the one he committed against Southampton last week.
Here, Press Association Sport takes a look at how the two managers fared in Sunday's Premier League encounter. "But he phoned me to talk about it and we had a very special talk". It's a quick decision in a moment of the game. "I think it's not a bad performance at all, it's a performance with mistakes".
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It depicts Prince Charles which has the little grandfather and the Duchess of Cambridge holding Prince Louis . And the new royal prince , who was born in April, has clearly inherited the trademark feature.
Sterling should have made it three shortly after, but after controlling Fernandinho's clever through-ball, he perhaps waited too long, and the chance was gone.
Mendy claimed last season's second-half demise at the Etihad Stadium was at the forefront of their minds. It's true, last season we didn't get points at Anfield, we drew. "We played like: "I don't want to lose the ball" but not the intention to attack or to do something".
"We were in a fight to try to get the equalizer", Mourinho said.
Arsenal also rank highly, while Chelsea and Man City have fallen foul of the referee less than any other sides.
"We need to have his (Vichai's) dream in our heads but also professional attitudes, every day hard work in the training sessions all the time and to give our best", he said. 'Football has no limits.
Liverpool climbed to second thanks to a 2-0 win over Fulham, leapfrogging Chelsea, who dropped to third after a 0-0 draw at home to Everton.
Fernandinho found Bernardo Silva in a pocket of space i front of the United back-line and the Portuguese took David De Gea by surprise as he rifled a low shot just wide from 20 yards out. We trust the manager - he knows what he is doing'.