Yesterday's ruling blocked that attempt, meaning prosecutors and not Trump nor Cohen are in the driver's seat on this matter. Trump is one of Cohen's only three clients, so the presumption is that a significant majority of the seized material relates to the President.
Various news outlets have already reported that Cohen, who is now the subject if a federal criminal investigation, was an essential facilitator in white collar crime on behalf of Trump. It has been widely reported that Trump now fears the Cohen matter will be his undoing, not the Mueller investigation. The case is being handled by the Manhattan Division of the US Attorneys' Office.
Cohen's files, now in the hands of federal investigators, may turn out to hold the smoking gun that ends the Trump presidency. Stay tuned.