You can put sticks of sweet scented gum with the wrapper on the gum into the holes. Be sure to use gloves to eliminate the human scent. Moles are blind but they have a powerful sense of smell. This will gum up the digestive tracks of the bandittos and there relatives will leave for greener pastures. I'm afraid the only truly natural approach is to leave the lawn to the grubs and the moles to the grubs until some predator of the mole comes around.
Most gardeners feel that predator is and can be homo sapiens.
We have been using moth balls to get rid of rabbits with great success. The most obvious one is the harm that could come to household pets. It is not the most pleasant odor. Hav-a Heart traps are safe for the rabbits. You can bait them with lettuce and carrots, of course.