The Manchester City midfielder complained he was the victim of monkey chants during the Champions League clash in Russia on Wednesday evening.
CSKA have been charged by UEFA over the "racist behaviour of their fans", but their general director Roman Babaev has insisted the claims have been "exaggerated" by Toure and the British media.
Quoted by the Daily Telegraph, Babaev said: "The British do constantly try to find any reason to smear Russian football. It is totally possible that in this case we're running into this same intention.
"I read the main English publications and they are raising a real hysteria. They are writing that the fans wanted to almost lynch the dark-skinned players on the field. And most journalists probably didn't even watch the match."
UEFA president Michel Platini has ordered an immediate investigation into failed protocol relating to the racism allegation after Romanian referee Ovidiu Hategan did not ask for an appeal for supporters to stop to be broadcast.
UEFA said it would publish the findings of its investigation once the disciplinary case against CSKA had been dealt with by its independent control and disciplinary body on October 30.
Babaev added: "We are preparing a legal argument. We're not denying the problem of racism on the whole, including at Russian stadiums, but in this case it seems that the situation is exaggerated.
"The match delegate didn't hear any outburst of racism toward Yaya Toure and so, of course, didn't document any during the course of the match."