Firstly can we ask if you do any of the following;
1 Do you feed birds?
2 Do you use peanuts when feeding birds?
3 Have you applied feed to your lawn?
If the response is positive to any of these questions can we suggest you to stop also you need to clean up any food already on the ground..
How can you stop badgers digging?
It is very hard to prevent badgers digging once they have located a good food source, however you could try as a first course of action that you apply lawn sand to the grass. Applying fencing to gardens is difficult as badgers are able to climb very well, they can also dig even more easily, however as a last resort the use of an electric cattle fence (low voltage from battery) can be used, but this could be costly to install.
Badgers are a protected species and there are severe penalties if the law is broken. Protection of Badgers Act 1992, Wildlife & Countryside Act and others apply.