Preheat your oven to 375°F (190°C) and lightly grease a small oven-safe baking dish.
Bring a pot of salted water to a boil and cook the chickpea pasta for 2 minutes less than the package directions suggest, ensuring it remains al dente.
While the pasta cooks, place the cottage cheese, nutritional yeast, Dijon mustard, garlic powder, onion powder, sea salt, and black pepper into a high-speed blender.
Process the cottage cheese mixture until it is completely smooth and resembles a traditional béchamel sauce.
Steam the broccoli florets briefly until they are bright green but still have a firm bite.
Drain the pasta and return it to the pot, then stir in the blended cheese sauce and the steamed broccoli until well combined.
Transfer the mixture to the prepared baking dish and spread it into an even layer.
Sprinkle the shredded sharp cheddar cheese evenly over the top of the pasta.
Bake for 15 to 20 minutes until the sauce is bubbling and the cheese on top is melted and slightly browned.
Remove from the oven and let it sit for 5 minutes before serving to allow the sauce to set.