Preheat the oven to 350°F (175°C).
In a baking dish, combine the uncooked pasta, chopped broccoli, plant-based milk, shredded cheddar cheese (or dairy-free alternative), roast garlic nutritional yeast, paprika, and shredded Parmesan cheese (or dairy-free alternative).
Mix well to ensure all ingredients are evenly distributed.
Cover the baking dish with aluminum foil.
Bake for 1 hour, or until the pasta is tender and cooked through.
Remove the aluminum foil and check the pasta for doneness. If the pasta is still firm, return the dish to the oven, uncovered, for an additional 10 minutes.
Serve immediately.