Apparent typo in your question - not sure if you have a problem with golfers leaving divots or gophers leaving holes.
If golfers, replace their golf balls with wiffle balls and sit back and enjoy their consternation at 20 yard drives.
If gophers, I have also heard DoubleBubble bubble gum works the same way as the chewing gum.
If that does not do it, there are grain-based gopher poisons that work great, but you need to be careful not to let your pets out without checking for dead animals (they sometimes come to the surface as they die), as if they eat the dead animals the strychnine or other poison will kill them too. Also bad if you have digging dogs or pet ferrets in the yard, though if you have ferrets maybe your problem will solve itself. We used to get great results by grabbing King or gopher snakes when we saw them and putting them down the active holes.