Place the chicken thighs in a large pot with the chicken broth, cumin, oregano, salt, and pepper. Bring to a simmer over medium heat and cook for 20 minutes until the chicken is cooked through.
While the chicken simmers, add the tomatillos, jalapenos, onion, and garlic to a blender. Add most of the cilantro and blend until smooth.
Remove the cooked chicken from the pot and shred it with two forks. Return the shredded chicken to the pot.
Pour the blended tomatillo mixture into the pot along with the hominy. Stir well and simmer for 15 minutes to let the flavors combine.
Taste and adjust salt if needed. Serve hot with lime wedges, sliced radishes, and shredded cabbage on the side.