The Ivory Coast international complained to the referee about the behaviour during last week's 2-1 victory over CSKA in Russia, which in turn prompted the Premier League outfit to contact UEFA.
"I think that, in a situation like that, it should be tournament expulsion," Carlisle told Perform. "That might sound dramatic but the reason I think that is because if that incident happens here and it's 100 yards in any direction from the football ground and the person, or group of people, committed that offence, they would be arrested and prosecuted.
"So, I don't understand why, just because it's in a football ground, that different rules are at play."
The ban will come into force for CSKA's next European fixture against Bayern Munich on November 27.