In a medium pot, cook ground turkey, garlic and dry seasonings over medium-high heat, until meat is cooked through. Drain grease from pan.
To the meat, add 2 cups of sauce, then a layer of noodles and repeat, ending with the final 2 cups of sauce on top. Add chicken broth and stir slightly. If it seems too dry, add more chicken broth or sauce.
Bring the mixture to a boil, then reduce heat to low and cook for 20 minutes, stirring gently a few times to help keep the noodles from sticking together.
When noodles are tender, remove the pot from the heat. Gently stir in cheeses, reserving a little bit of the mozzarella; sprinkle remaining mozzarella on top. Broil until cheese is bubbly and serve.