For game two if at all possible plus it sounds like Cohen may be thinking that game three may not even happen or get rained/snowed out. I don't think he wants to leave Lexington without using Graveman at least once.
My guess is that he thinks weather could impact the second game of the DH and he wants to use Graveman to have a better shot at getting that 2nd win of the series because he doesn't trust that wild *** MFer to get that win.