City midfielder Yaya Toure complained of ***** chants against him during the Champions League clash at the Luzhniki Stadium.
The Russian club have denied any racist abuse took place but they will face a disciplinary hearing next week, which will also look at the use of fireworks inside the stadium.
A statement from UEFA read: "Proceedings have been opened against CSKA Moscow for racist behaviour of their fans (article 14 of the UEFA disciplinary regulations) and for setting off of fireworks (article 16) at last night's UEFA Champions League group stage match in Moscow against Manchester City.
"The case will be dealt with by the UEFA Control and Disciplinary Body on 30 October."
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