Place the pork chunks, diced onion, and minced garlic into the slow cooker.
Add the drained pinto beans, drained hominy, and the can of diced tomatoes with green chiles.
Pour in the chicken broth, then sprinkle in the chili powder, cumin, oregano, salt, and black pepper.
Stir everything together until the spices are evenly distributed through the liquid and solids.
Cover and cook on low for 8 hours until the pork is very tender.
Taste and adjust salt or pepper if needed, then ladle into bowls.
Top each serving with chopped fresh cilantro and a squeeze of lime.