Preheat the oven to 350°F. Spray the baking dish with cooking spray.
In a skillet, cook the ground beef and onion over medium heat until browned. Add the garlic and stir for 30 seconds.
In a large bowl, combine the cooked beef mixture with uncooked rice, cream of mushroom soup, French onion soup, beef broth, water, Worcestershire sauce, garlic powder, onion powder, paprika, salt, and pepper. Stir well.
Pour into the prepared baking dish and spread evenly. Dot the top with butter.
Cover tightly with foil and bake for 60 minutes.
Remove foil and sprinkle cheddar cheese and mozzarella cheese on top.
Bake uncovered for 15 more minutes until cheese is melted and bubbly. Let rest for 10 minutes before serving.