Combine tomatoes and cilantro in a small bowl. Set aside. Combine black beans, broth, and seasonings. Set aside. Combine Ricotta cheese and 2 1/2 Monterey Jack Cheese. Set aside.
Assemble like Lasagna: Layer of tomato sauce, corn tortillas, black beans, mixed cheeses, repeat 2 times, ending with corn tortillas, tomato mix and top with reserved grated Monterey Jack Cheese. Bake at 350 degrees until hot and bubbly. Let set 10 minutes.