The Reds boss will now be fined for questioning the wisdom of appointing a Bolton-born match official for a game in Manchester.
The Northern Irishman was disappointed by an offside call in the first half of the game at the Etihad Stadium that incorrectly ruled out a clear goalscoring chance for Raheem Sterling, as well as a failed Luis Suarez penalty appeal in the closing stages.
After the match, Rodgers labeled the officials' performance "horrendous" and suggested that Bolton-born Mason was an inappropriate choice of referee for a game in Manchester.
He told reporters: "Hopefully we won't have a Greater Manchester referee with Liverpool - Manchester games in future."
Rodgers will now receive a fine, with the precise amount to be determined at an FA hearing that he will not attend.