Cook sausage and ground beef in a large skillet over medium-high heat, stirring until meat crumbles and is no longer pink. Drain. Stir in beans and next 4 ingredients; cook until thoroughly heated.
Stir together soups and enchilada sauce in a saucepan; cook until thoroughly heated.
Spoon one-third of sauce onto bottom of a lightly greased 13 x 9 in baking dish; top with 3 tortillas. Spoon half of beef mixture and one-third of sauce over tortillas; sprinkly with half of Cheddar cheese. Top with 3 tortillas; repeat layers ending with tortillas. Sprinkle with Monterey Jack cheese and next 3 ingredients.
Bake at 350 degrees for 30 minutes.
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