The Japan international was subject to a deadline day offer from the Italian side, but the two clubs failed to agree a fee, with the Russians berating Edy Reja's men
The 25-year-old was heavily linked with a deadline day move to Rome, to the extent that Edy Reja's men had reportedly set aside a shirt number in preparation for the winger's arrival.
However, the transfer collapsed, and the Russian outfit have pointed the finger at Lazio for their failure to seal Honda's signature.
"Lazio did not have a suitable approach in terms of money and in the way they approached us," Babaev said according to Corriere Dello Sport.
"They failed to negotiate seriously in terms of the player's value. They were disrespectful to him and us."
The CSKA executive went on to concede that the Asian superstar had hoped for a move to the Serie A side, but backed the player to continue his career in the Russian capital in a professional manner.
"Honda had hoped to leave, this was very bad, but he is a true professional. He just needs to forget these negotiations."
Meanwhile, Lazio official Igli Tare has in turned blamed the Russians for the move not happening.
"Increasing the fee was like a game to CSKA Moscow, we increased the offer three times. The Russians didn't change their position.
"Lazio made a good offer for Honda; it was the biggest deal in the January market in Europe," the Stadio Olimpico man admitted.