The group is made up of more than 50 performers from such shows as 42nd Street, Cats and Chicago. A lawyer representing the performers recently sent a letter to Cohen saying that the performers did not give consent to appear in the series and are asking for revenue figures, the paper reports.
The paper reports that Cohen responds that he had worked out deals with the unions AFTRA and Actors' Equity.
The DVDs, made up of performances televised on the Tony Awards, have been released over the last few years, with a complete box set having come out in May 2006.
Cohen is the son of the legendary Broadway producer Alexander Cohen, who used to oversee the Tony Awards.