The FBI's raid on Trump lawyer Michael Cohen was seeking information about payments related to Karen McDougal and Stormy Daniels, two women who had affairs with now-President Trump, in addition to any potential role from the publisher of The National Enquirer, the NYTimes reported Tuesday.

Between the lines: The agents were acting on a warrant "personally signed off on" by Deputy Attorney General Rod Rosenstein, the Times notes. President Trump has increasingly pushed Attorney General Jeff Sessions to shut down the broader Mueller probe.