01 - Preheat oven to 375°F. Lightly grease a 9x13-inch baking dish with cooking spray or oil.
02 - Heat olive oil in a large skillet over medium heat. Add chopped onion and cook 2-3 minutes until softened. Add minced garlic and cook 30 seconds until fragrant.
03 - Add ground beef to the skillet. Cook, breaking up meat with a spoon, until browned and cooked through approximately 5-6 minutes. Drain excess fat.
04 - Stir in diced green chilies, cumin, chili powder, smoked paprika, salt, and black pepper. Cook 1 minute to blend flavors. Remove from heat.
05 - Spread 1/2 cup enchilada sauce over the bottom of the prepared baking dish. Arrange 4 tortillas over the sauce, overlapping slightly. Top with half of the beef mixture, 3/4 cup cheddar, and 1/2 cup Monterey Jack cheese.
06 - Drizzle 3/4 cup enchilada sauce over the first layer. Repeat with remaining tortillas, beef mixture, and cheeses.
07 - Pour remaining enchilada sauce over the top. Sprinkle with remaining cheese and black olives. Cover with foil and bake for 20 minutes.
08 - Uncover dish and bake an additional 10-15 minutes until cheese is bubbly and lightly golden brown.
09 - Let casserole stand 10 minutes before serving to set. Garnish with chopped cilantro and serve with sour cream if desired.