Heat 1 tablespoon olive oil in a large skillet over medium heat.
If using meat: add ground beef and hot sausage and cook, breaking up the meat, until no longer pink.
If making the vegetarian/vegan version: omit meats and proceed with the next step.
Add chopped onion, minced garlic, and sliced mushrooms to the pan and cook until the onion is translucent and mushrooms are softened, about 5–7 minutes.
Transfer the cooked meat (if used) and vegetables to a large sauce pot.
Stir in the crushed tomatoes, tomato paste, raw sugar, cumin, oregano, and salt and pepper to taste.
Bring the sauce to a boil, then reduce heat and simmer until heated through and flavors meld, at least 20–30 minutes; add water as needed to reach desired consistency.
For the vegetarian/vegan option: shred the MorningStar Farms sausage patties and stir them into the sauce while simmering.
Taste and adjust seasoning, then serve with pasta.