Vehicle-mounted weapons depend entirely on the weight of the vehicle, but assuming that one to be about the same as the real-life lunar rover the kickback would depend 100% on how it is mounted, just like on earth.
yep, my only dubt is about weight of a combat vehicle compared with a moon rover. The rover is very light and the model i used for the image is the same rover brought to the moon in 1971. Lightness of object is an important factor when you bring something in space. Despite this I think that a mounted weapon can be used on a moon rover.......i hope:)
For a realistic lunar combat vehicle, it would probably have been built on the moon and look more like the Warthog from Halo or Mako from Mass Effect.