Liverpool boss was furious following his sides match at the Etihad, and questioned Lee Mason's appointment
City needed goals from Vincent Kompany and Alvaro Negredo to turn the scoreline around after Philippe Coutinho scored in a spell of strong Liverpool pressure.
One thing the Liverpool boss did have issue with was the match officials. Before the opening goal, Raheem Sterling had had a goal incorrectly flagged offside, and a series of challenges, not least two on Luis Suarez in the Manchester City area, went unpunished.
When queried on the incidents, Rodgers said: "Where do you want me to start?
"I thought we never got any decision. The linesman on the offside one - he wasn't even on the same cut of grass.
"If you're working at this level you have to get it right. It's not even a difficult one.
"It is a perfectly-timed run and he is given offside when he is through one on one on goal. These are big moments in big games."
One particular issue Rodgers queried was why local referee Lee Mason, from Bolton in Greater Manchester, was given the game to referee.
"Hopefully we don't have another Greater Manchester referee again on a Liverpool-Manchester game.
"The officials make mistakes, I just felt the mistakes made tonight shouldn't have happened at this level. This is a big game."
Rodgers continued: "There is another incident when Luis (Suarez) doesn't get a free-kick when Joleon Lescott went right through him.
"It is arguable it is a penalty at the end. Luis Suarez can't jump because he is tugging at his shirt.
"We are disappointed not to have won the game, never mind losing the game."
images: © Bernard Chan