Heat the oil and garlic in a 3-quart saucepan until oil is hot. Place flour and pork in a plastic bag and shake until pork is coated. Cook pork in oil over medium heat until it is no longer pink. Remove pork with a slotted spoon and set aside.
Add onion to saucepan and cook until tender. Stir in beans, hominy, carrot, celery, green chiles, chili powder, and broth. Bring to a boil, reduce heat, cover, and simmer for 10 minutes.Stir pork, salt, and pepper into vegetable mixture. Bring to a boil, reduce heat, cover, and simmer for 30 minutes. Add oregano and cilantro. Serve with lime wedges.
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