As far as I know, there is no special term for (American) football that is played on Astroturf versus real grass. Sometimes the announcers will mention something about the playing surface in passing, but most fans (for some reason) automatically know whether it's artificial turf or not. It seems to be a "guy" thing; most men can't remember where they put their car keys or when their wedding anniversay is, but they can name every stadium in the country that uses real grass.