Cook the pasta shells according to the package directions. Drain and set the shells on a cookie sheet.
Heat the olive oil in a large skillet over medium heat. Add the carrots, pepper, onion, and broccoli to the pan and saute for 5 minutes. Add in the spinach and garlic and cook for 5 additional minutes.
Remove from heat and let cool for 5 minutes. Pour the vegetables into a large bowl and add in the ricotta cheese and Parmesan cheese and mix well.
Preheat the oven to 375 degrees.
Pour 1 cup of sauce into the bottom of a 9 x 13 pan. Put 2 tablespoons of the cheese and vegetable mix inside each shell and place it in the pan.
Pour the remaining sauce over top of the shells and sprinkle with mozzarella cheese.
Cover with foil and bake for 20 minutes. Remove foil and bake for 15 additional minutes.