Start the water for the pasta. Plan to add the pasta before blending the sauce.
Heat a skillet or large pan over medium-low heat. Add the onions and carrots and sauté for 5 minutes, stirring often.
Add ½ cup of vegetable broth and garlic, oregano, and red chili flakes. Keep the heat low and cook for 5-10 minutes or until the carrots are tender. Remember, the softer the carrots, the smoother the sauce.
When the carrots are cooked, cut the heat and add the veggies to a food processor or blender with undrained chickpeas, nutritional yeast, lemon juice, and ½ cup of vegetable broth. Start slowly for a minute, then increase the speed. Add up to 1 cup more vegetable broth until you reach the desired consistency.
Before draining the pasta, scoop out a cup of cooking liquid. If the sauce is too thick after adding the pasta, use a little pasta water to thin it out.
Return the sauce to the pan to reheat. Mix it with cooked pasta. If the sauce is too thin, let it reheat a little longer. It will thicken as it cools.
Taste and add salt and pepper if desired. Garnish with chopped parsley or basil.