Select the Sauté setting on the Instant Pot and let the pot heat up for a few minutes before adding the olive oil. Once hot, add the onions and carrots and cook for 5 minutes, stirring occasionally, until starting to soften. Add the garlic and cook for 1-2 minutes, stirring frequently, until fragrant.
Add the vegetable broth to deglaze the pan, using a wooden spoon to scrape up any browned bits on the bottom of the pot. Select the Cancel setting.
Add the lite coconut milk, chickpeas, lasagna noodle pieces, salt, pepper, nutritional yeast, and bouquet garni. Stir well to submerge the lasagna noodles. Using a spoon, scoop the pumpkin on top of everything, but do not stir or submerge to prevent burning.
Secure the lid and set the Pressure Release to Sealing. Select the Pressure Cook (Manual) setting at high pressure and set the cook time to 4 minutes.
While the soup is cooking, make the Tofu Ricotta. Drain the tofu and blot away the excess water with a few paper towels. For a smooth ricotta, crumble the tofu into a food processor. Add the remaining ingredients and blend until you have a creamy, smooth texture. Taste for salt, acidity, and cheesiness, adding more salt, lemon juice, or nutritional yeast, respectively, as needed. For a chunkier ricotta, place the tofu in a large bowl and break it into smaller chunks using a fork. Add the remaining ingredients and mix together until the consistency resembles ricotta cheese.Note: the ricotta can also be made a few days in advance and stored in the fridge.
Once the 4-minute timer has completed and beeps, perform a quick pressure release by carefully switching the Pressure Release knob from Sealing to Venting.
Open the pot and remove the bouquet garni. Stir well, add the tomato sauce and select the Sauté setting. Heat the soup for 2-3 minutes until the tomato sauce is incorporated and the soup has slightly thickened. Taste and adjust the flavor, as needed, with additional salt or pepper.
Serve the soup in bowls and top each bowl with a few spoons of Vegan Ricotta Cheese and stir to combine. Store leftovers in an airtight container in the fridge for 1-2 days.