Melt butter and garlic in a skillet. Once melted add flour and salt mix thoroughly and add broth and milk. Bring to a boil, stirring constantly for 1 minute. Add 2 C. mozzarella cheese and 1/2 C. parmesan and herbs.
Place 1/3 of sauce mixture into the bottom of a 9x12 baking dish. Layer with 1/3 of the noodles, cover with ricotta, spinach, and chicken. Repeat 2 more times.
Top with additional mozzarella and parmesan. Bake for 35-40 minutes. Remove from the oven and let sit 5-10 minutes before cutting.