Hominy and pork simmered in a clear, clean broth, allowing the fresh garnishes to shine. This protein-rich, family-style soup lets each diner customize with radish, oregano, and chile.
Cut the pork shoulder into large chunks and add to a large stockpot with 12 cups of water over high heat. Bring to a gentle boil, then skim off any foam for a clear broth.
Add the peeled and halved white onion, garlic cloves, and bay leaves. Reduce heat to a simmer and cook uncovered for 1.5 hours. Occasionally skim to maintain clarity.
Remove the onion, garlic, and bay leaves. Add the canned hominy (drained and rinsed) to the pot, and season with salt and black pepper.
Continue simmering for another 40–50 minutes, stirring occasionally to let the flavors meld. If needed, adjust with additional salt to taste.
Serve hot, letting each diner add dried oregano and their choice of sliced radish, shredded cabbage, and chopped chili as garnish at the table.