Preheat the oven to 400F and line a baking sheet with parchment paper.
Add all ingredients apart from basil, nutritional yeast and broth to the sheet pan, seasoning with salt, pepper and olive oil as desired. Roast for 40 to 45 minutes, until everything is softened.
When it's safe to handle, transfer all of the ingredients including basil, nutritional yeast and broth to a high speed blender. Combine until a smooth. Alternatively, transfer the ingredients to a large pot and puree with an immersion blender. Heat back up and enjoy immediately.