Posted: 05/03/2014 at 20:07
The holes in my lawn look very like that & they are rabbit latrines, so maybe that's what's your problem too, if you have wild rabbits nearby. Sometimes I find rabbit droppings in & beside the holes, so maybe you will too if you take a really close look. I've had badgers dig up the lawn in the past, but the mess they make is different in that they rip the turf up (looking for chafer grubs etc) rather than just making holes.
p.s. today I heard of a good way to stop badgers digging the lawn. Apparently they don't do it if you've scattered some of that granular lawn fertiliser around. I won't need to try this out, as my garden is now more-or-less badger-proof, but the person who gave me the advice has in fact tried it, and said it really does work.