Make the Broth: In a large pot, combine coconut milk, water, Italian seasoning, nutritional yeast, and salt. Stir well.
Cook the Pasta & Veggies: Add pasta, carrot, zucchini, squash, bell pepper, and shallot to the pot. Bring to a boil, then reduce heat to medium. Cook until pasta is nearly al dente, about 5-8 minutes.
Add More Veggies: Stir in broccoli, peas, and tomatoes. Cook for an additional 3-5 minutes until everything is tender.
Finish: Turn off the heat. Stir in lemon juice, salt, and pepper to taste. Let sit for 3-5 minutes to thicken the sauce.
Serve: Top with vegan parmesan, fresh herbs, or red pepper flakes, and serve warm!