For almost 30 years we have happily shared our land in France with moles (les taupes) and where we have become used to seeing most mornings, a fresh round of mole hills after their nightly endeavours. We live in a small hamlet of 7 houses and seem to get more than our fair share of moles probably because the house is only occupied for 3 months of the year. In a recent conversation with a neighbour he explained that I could get rid of the moles by exposing the hole and inserting some smelly dog's hair which the mole disliked! I found his suggestion hard to believe but as it was fairly harmless I decided to give it a go. I had a ready source of Benson's hair in the vacuum cleaner and introduced them into around 40 mole hills over a 3 day period and can report that it did not make the slightest difference! In fact it turned into a game with the moles as who could dig the holes the fastest! I concluded that this was either another "old wives tale" or the French were trying to get their own back for Brexit; ho hum!
The remedy we like for moles is nematodes to kill off the grubs they eat. The grubs also attract skunks, which you don't have, I think. If molehills and tunnels bother anyone, skunks, being bigger, leave much bigger landscape changes. So the nematodes help discourage them too.