Here is the full list of all 13 Mole Control achievements.
Complete time attack mode.
Awarded for extensive use of your jetpack.
Awarded for extensive use of bomb moles.
Awarded for extensive use of lure moles.
Complete adventure mode.
Awarded for extensive use of mole-tiplier moles.
Awarded for extensive use of safezone moles.
Collect all the golden moles.
Destroy loads of moles in one go with a bomb and mole-tiplier combo.
Awarded for extensive use of shuffle moles.
Be the best, complete any level quicker than Marius.
Collect 5 moles in quick succession.
Complete the first adventure level.