Valle Luna Chile Rellenos

12 Anaheim chiles, roasted
1 pound Monterey jack cheese
Grated egg whites, as needed
Egg yolks, 1 for every 8 egg whites, as needed
1 tablespoon salt, plus more as needed
Flour, as needed
8 ounces white onions, chopped
24 ounces water
4 ounces tomatoes, diced
4 ounces tomato sauce
4 ounces green chilies, diced
1 tablespoon garlic
1/2 tablespoon black pepper
1 pinch crushed red pepper

In a skillet, saut