what are you calling the RED reverse light,,,, unless you hooked up a seperate light for reverse the grizz has no reverse light,,, has a stop light and a tail light,, im not sure if the tail light burns all the time the grizz is running or not,,someone on here can tell you, ,,, I guess what im saying is it might be normal and you never noticed it untill after the winch install,,, good luck,,,, ,,,,, cg