The former Manchester City midfielder criticised Brittain after the two sides met at Dingwall in September, claiming that he intentionally had Rowan Vine sent off.
"Brittain's reaction was an absolute scandal," Lomas said at the time.
"He is a very good player but for him to go down like that to try to get a player sent off? He should be disgusted with himself.
"He is meant to be a competitive midfield enforcer but he should be embarrassed with what he did. For me it's cheating."
A SFA judicial panel rapped Lomas for the remarks, ordering him to serve the penalty at the end of the season.