Preheat the oven to 425 degrees F.
Season the pork liberally all over with salt and pepper.
Heat 2 tbsp of oil in a large dutch oven or stockpot over medium high heat. Sear the pork on all sides until golden brown.
Add chicken broth, bay leaves, cumin, and oregano to the pork, and let everything come to a boil. Lower the heat and simmer covered for 1 hour.
While the pork simmers, place tomatillos, poblano peppers, jalapeño peppers, onion, and garlic on a baking pan, and toss with 2 tbsp of oil, salt, and pepper. Roast for 20 minutes until soft.
Cool the veggies for 10 minutes, then add them to a blender (including the juices) with cilantro. Add 1 cup of the broth from the pork to the blender and blend everything until smooth.
Stir the blended sauce in with the pork, and simmer for 2 more hours, or until the pork shreds easily.
Remove the bay leaves and discard them. Transfer the pork to a bowl and shred. Discard the bone (if any), and add the meat back into the soup.
Stir in hominy and taste to adjust seasoning,.
Serve topped with shredded cabbage, radish slices, diced avocados, diced onion, cilantro, cotija, lime wedges, and tortilla chips.