(CNN) Lawyers for Michael Cohen, President Donald Trump's longtime personal attorney, are accusing the lawyer representing porn star Stormy Daniels of circulating false information about Cohen.

In a court filing on Wednesday, Cohen's attorneys also acknowledged the accuracy of some of the information Michael Avenatti released publicly on Tuesday and suggested that Avenatti obtained that information unlawfully.

Cohen's filing was the first comment from his side since Avenatti published his own research Tuesday.

"While much of the information in his 'report' is completely inaccurate, Mr. Avenatti has published some information that appears to be from Mr. Cohen's actual bank records, and Mr. Cohen has no reason to believe that Mr. Avenatti is in lawful possession of these records," Cohen's attorneys write.

Avenatti shot back Wednesday night on Twitter, saying, "They fail to address, let alone contradict, 99% of the statements in what we released. Among other things, they effectively concede the receipt of the $500,000 from those with Russian ties."

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