Lightly grease the crock of your slow cooker with vegetable oil.
Put chicken breasts into the bottom of the slow cooker crock; add chicken broth, black beans, cannellini beans, diced tomatoes, yellow onion, chili powder, garlic, cumin, paprika, garlic powder, hot sauce, salt, and black pepper.
Cook on Low for 6 hours (or on High for 3 hours).
Remove chicken breasts and shred into strands with a pair of forks. Return it to the crock and stir.