Now set a box upside down over hole and trap. This keeps birds out. Cut a V notch in the part of the box touching the ground so they can get in and out. They will feed and get trapped. Other control measures include tilling the area, removing the mulch and getting a hungry cat.
Moles are a different problem.
They tunnel in lawns feeding on insects. They do not eat plants but make lawns uneven and unattractive. Trapping is most reliable but as someone said, you may grow old learning how to do it. Call for specific instructions. Another control is to kill their food source - the lawn insects.