Prepare the Pork: In a large pot or Dutch oven, heat a little oil over medium-high heat. Brown the pork cubes on all sides until golden. Remove the pork and set aside.
Cook the Aromatics: In the same pot, sauté onion and garlic until soft and fragrant, about 3–4 minutes.
Make the Green Sauce: In a blender, combine tomatillos, jalapeños, and cilantro with 1 cup of chicken broth. Blend until smooth.
Combine and Simmer: Return pork to the pot. Pour the blended tomatillo sauce over the pork. Add remaining chicken broth, water, cumin, oregano, salt, and pepper. Stir well. Bring to a boil, then reduce heat to low and simmer for 1.5–2 hours, until pork is tender.
Add Hominy: Stir in cooked hominy and simmer for an additional 15–20 minutes to allow flavors to meld. Adjust seasoning with salt and pepper if needed.