Preheat your oven to 350°F and grease a 9x13-inch baking dish. Steam or blanch broccoli florets for 3-4 minutes until slightly tender but still bright green, then drain well.
In a large mixing bowl, combine cream of mushroom soup, cream of chicken soup, sour cream, milk, melted butter, garlic powder, and onion powder. Mix until smooth.
Add cooked rice, broccoli, and 1½ cups of shredded cheddar cheese to the bowl. Stir everything together until well combined. Season with salt and pepper to taste.
Pour the mixture into your prepared baking dish and spread it out evenly. Top with remaining ½ cup of cheddar cheese.
If using, sprinkle crushed butter crackers over the cheese for an extra crunchy topping.
Bake uncovered for 25-30 minutes until bubbly around the edges and the cheese is melted and golden. Let it rest for 5 minutes before serving.