In a large skillet, heat the olive oil. Next, add the onion and garlic and saute over medium heat until the onions are soft, about 8 minutes. Next, add the celery and carrot and saute for 5 minutes.
Increase heat to medium and add the vegan ground beef. Stir frequently, add the tomatoes, parsley, and basil, and simmer for 30 minutes. Finish bolognese grated vegan parmesan.