Preheat the oven to 350 degrees F (175 degrees C). Pour pasta sauce into a 9x13-inch glass baking dish.
Combine turkey, Monterey Jack cheese, feta cheese, spinach, egg, shallot, Parmesan, basil, olive oil, garlic, oregano, rosemary, salt, and pepper in a medium bowl. Gently form into 12 meatballs. Arrange evenly over the pasta sauce. Cover baking dish with foil.
Bake in the preheated oven until an instant-read thermometer inserted into the center reads at least 165 degrees F (74 degrees C), 20 to 25 minutes.