You need to flood the tunnels every day for a week or two. That will make the critters believe that this is not a good place for them to live. Flooding will eventually get water all the way down to the burrows that are deeper underground. It may drown the babies, but you won't have to see that (or smell it, thankfully).
If your neighbors complain that you've chased the moles to their property, tell them how to keep chasing them . . eventually they'll get out to wild lands, or to another neighbor you don't like so well. ??