Farrah Abraham is NOT sweating accusations of animal abuse ... 'cause she says her pooches are happy and healthy ... which she says is not the case for her daughter. We got Farrah leaving Craig's Wednesday night in WeHo and talked with her about the backlash she's getting over an Instagram post ... featuring her dog, Cupcake, muzzled and her Pomeranian Boo's fur dyed blue. Cupcake's fur, BTW, is dyed hot pink.