You will have to identify what you are dealing with. Look at our photos on moles and voles.
Moles create raised tunnels in soils and feed on soil insects including earthworms. They do not cause plant damage. Moles usually move on when their food supply and habitat changes. You can tamp down the tunnels when the grass is not soggy. You may need to do some reseeding, if the lawn does not recover. http://extension.umd.edu/hgic/moles-lawns
Voles are a type of mouse (meadow or pine) that feeds on roots of trees, shrubs, and herbaceous plants. They are not insect eaters. When we have snow they can tunnel under it. Normally this may not be a big problem unless they are feeding on plant roots. All you can do is monitor your landscape and lawn for holes. Look for holes about the size of a silver dollar. If you see them, trap with mouse traps baited with apple slices and peanut butter. No poison is recommended. You can tamp down the tunnels when the grass is not soggy. You may need to do some reseeding, if the lawn does not recover.
See our website for photos and more information http://extension.umd.edu/hgic/voles