Phillip Gannon was seen on live television making a racially offensive monkey gesture during the FA Cup fourth-round match between the sides.
The normally heated atmosphere was even more volatile because it was the first match between the clubs since Liverpool forward Luis Suarez was banned for eight matches for racially abusing Evra.
On Friday, Liverpool Magistrates' court banned the 58-year-old Gannon from all Liverpool and England games and ordered him to pay a fine of 180 pounds ($280) as well as 300 pounds ($467) in prosecution costs.
Gannon is also banned from Liverpool city center for four hours before and after a match.