Last November I cleaned 4 x 4 panel sheepskins. DFC 105, combed with a brush for agitation, rinse extract using CFR upholstery tool, towel dry with wiping action, comb pile afterwards. Superb results, nicely soft to the hand.
When we did the NCCA Factory Tour of Axminster Carpet's Spinning Mill in Devon, they also took us around their tanning/sheepskin factory. They told us that some rugs can safely be laundered and some can't. I presume it has something to do with the tanning process used.
Safe and happy cleaning

The Ken