In a large pot, bring the broth, cream, crushed garlic, and pasta to a boil.
Add the chopped carrots, then reduce the heat to low and cover until the pasta and carrots are tender, and most of the liquid is absorbed.
Stir in the broccoli florets, peas, and grated Parmasan cheese. Stir to melt the cheese, and remove from heat.
Layer half the pasta into a large baking dish, then sprinkle 1 cup of Mozzarella cheese on top. Repeat with the second half of the pasta and the remaining Mozzarella.
Bake at 375 for 15-20 minutes until warm and bubbly. Serve immediately with a green salad or a piece of fruit.