I don't know anything about moles, but with armadillos----bane of deerhunters and country folk alike. If they decide to dig underneath your rocks they will. I've seen them dig a burrow undeneath the concrete slab of a patio.
They don't want your garden plants. Probably, you have worms, etc in your garden composted soil. That's their munchies.
You've done just about everything you can do except buying a case of .22 short rifle . That might help with rabbits also.
The only other option , other than your roofed cage, is a pair of totally outside dogs. A big mean one for the armadillos and a beagle for the rabbits...bford
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