Moles eat insects and if you have moles in your yard, you are likely to have white grubs as well. Treat your lawn with a recommended insecticide to kill the insects. The moles, deprived of their food source, will leave.

No, there are no pesticides labeled to control armadillos. The only control measures available are to catch them with a live trap equipped with "wings" baited with rotten fruit or shoot them at night if city restrictions will allow it.