The Liverpool Boss, who accepted the charge on Wednesday, has also been warned about his future behaviour.
He criticised the “horrendous” performance of the match officials and questioned the appointment of Bolton referee Lee Mason after the 2-1 loss.
Rodgers said: “Hopefully we won’t have a Greater Manchester referee with Liverpool-Manchester games in future.”
The Liverpool boss had subsequently clarified the remarks made on 26 December and said he had not queried Mason’s ability to referee the match.
“I was talking in terms of geography and I certainly wasn’t questioning the integrity of referees,” Rodgers later said.
“I wouldn’t suspect that Mike Dean, from the Wirral, has refereed many games for Liverpool over the years.”
Written by Steve Milne – Have your say below 🙂