The Ivory Coast midfielder appeared to be the target of chants from some sections of the home crowd during the 2-1 victory at the Arena Khimki on Wednesday.
Afterwards he told Sky Sports News: "It's unbelievable. I think UEFA needs to do something strong."
Former Barcelona midfielder Toure believes Europe's governing body should take decisive action and possibly impose a stadium ban on CSKA if their fans are found guilty of abusing him.
He added: "I told the ref, I think it was unbelievable and very sad. We want to stop that. UEFA need to do something.
"Maybe close the stadium for a couple of games. As an African player, it is always sad when you hear something like that."
The 28-year-old Tweeted: "Thank you for your support! Hate or racism cannot affect me when so many people are showing me love and support on a daily basis!"
"It's a pity and I hope UEFA have the right measures," he said.
