Weighting a RooGenericPDF by a RooHistPdf?

I have a signal PDF which is essentially a 2D double Gaussian distribution. I have a background which is flat.

Both need to be weighted by a 2D exposure function that is a RooHistPdf in the same 2 variables as the signal and background. For the background this is trivial–I can just use the RooHistPdf directly. For the signal, I’m not sure how to accomplish this (or if it is even possible to do so). Is there some way of “weighting” the double Gaussian PDF by the RooHistPdf?