Preheat oven to 375F.
Add veggie broth, cashew milk, nutritional yeast, paprika, salt, garlic powder, and turmeric to a medium pot on the stovetop at medium-high heat. Bring to a boil.
In a 9x13-inch (or similar-sized) casserole dish, add beans, broccoli, onion, and uncooked quinoa. Stir to mix evenly.
Pour the hot broth mixture evenly over the casserole ingredients. Use a spatula to press down and submerge the quinoa as much as possible.
Cover the casserole dish with aluminum foil and bake for 33 minutes.
If using vegan cheese: Remove from oven, remove the aluminum foil, and sprinkle vegan cheese on top. Set oven to broil (you don't have to wait for it to fully preheat, we are just getting it hotter to melt the cheese), and return the casserole to the oven. Bake another 2-3 minutes, or until cheese is melted. If not using vegan cheese: Remove from oven, remove the aluminum foil, and simply bake in the oven for another 2-3 minutes. Remove from oven and let cool 5-10 minutes. Serve and enjoy! Optionally, top individual servings with vegan sour cream or plain coconut yogurt for extra creaminess.