Yes, if the plow driver tore up your lawn while plowing please report it to 311 to make sure that it is logged and recorded properly. Many times residents are unaware that their lawn has been damaged until after the snow melts; if that is the case please report it to 311 as soon as it is noticed.
Occasional "scalping" of lawns occurs during winter plowing operations. Some of these are deep enough to fill and re-seed. Others, while unsightly at first, are too shallow to fill. These will grow back on their own from the roots of the grass. Some areas, like corners, intersections, and hills among others, are prone to such damage more than other areas. The deep areas will be filled and seeded as time permits. The rest will be left to grow back on their own.