Heat oil in a large skillet over medium. Add onion, carrot, and celery; cook 5 minutes until soft.
Add garlic and cook 30 seconds. Push veggies to the side and add turkey. Break it up and cook until no pink remains, about 6–8 minutes.
Stir in tomato paste, crushed tomatoes, broth, oregano, basil, salt, and pepper. Bring to a simmer.
Reduce heat and simmer 15–20 minutes, stirring occasionally. Taste and add more salt if needed.
Cool, portion into freezer bags flat, and label with date. To reheat, thaw overnight in fridge and warm on stove or microwave.