Preheat oven to 375. Spray a 9x13 baking dish and set aside.
In a large skillet cook chorizo until no longer pink. Drain and set aside. Add onions to the same skillet. Cook for 2-3 minutes or until translucent. Add garlic and cook an additional minute.
In a large bowl, combine chorizo, turkey, beans, onion mixture, cilantro, cumin and salt. Add broth and ¼ cup salsa.
Spread ¼ cup salsa on the bottom of the baking dish. Top with 3 tortillas, cutting tortillas to make them fit. Spread with ¼ cup of salsa, ½ of the meat mixture and ⅓ of the cheese. Top with three tortillas. Repeat process, ending with cheese.
Bake for 30 minutes or until cheese has melted and is bubbly.