While chickpeas are baking, heat a large metal or cast iron skillet over medium heat. Once hot, add olive oil, garlic and carrots. Sauté for 3 minutes, stirring frequently.
Remove skillet from heat, add tomato sauce, oregano, and vegan parmesan cheese, and stir. Place back over heat and bring to a low simmer over medium-low heat. Once simmering, reduce heat to low and continue cooking to thicken, stirring occasionally.
Sample sauce and adjust seasonings as needed. Add sweetener of choice at this time if preferred.