Begin by bringing a large pot of salted water to a boil. Add the 11 oz of pasta and cook according to package instructions until al dente. Once cooked, drain and set aside.
In the same pot, add the 14 oz of cauliflower florets and 9 oz of green beans to the boiling vegetable broth. Cook until the cauliflower is tender, about 7-10 minutes. Remove the vegetables and set them aside.
In a skillet over medium heat, add a splash of water or vegetable broth. Sauté the chopped onion until translucent, about 5 minutes. Add the minced garlic and cook for an additional 1-2 minutes until fragrant.
In a blender, combine the cooked cauliflower, green beans, sautéed onions, garlic, chickpeas, nutritional yeast, cornstarch, salt, and black pepper. Blend until the mixture is completely smooth and creamy. If the sauce is too thick, add a little more vegetable broth to reach your desired consistency.
Return the drained pasta to the pot and pour the creamy sauce over it. Stir well to combine, ensuring every noodle is coated in that delicious sauce.
Cook the pasta and sauce mixture on low heat for a few minutes to warm everything through. Sprinkle with vegan Parmesan cheese and serve hot.