Start by setting your oven to 350 degrees F (175 degrees C) so it is ready to go when you are done mixing. Place your chicken breasts in a pot, cover them with water, and bring to a boil before simmering for about 15 minutes until cooked through.
While the chicken is simmering, grab a second large pot and get your salted water boiling for the pasta. Toss in the penne and let it cook for about 11 minutes until it is tender but still has a bit of a bite.
Once the chicken is fully cooked and drained, carefully cut it into bite-sized cubes that will be easy to eat. In a large bowl, mix the chicken, cooked noodles, Alfredo sauce, half the mozzarella, milk, and spices until everything is well coated.
Transfer your creamy pasta and chicken mixture into your prepared 1 ½-quart casserole dish, spreading it out evenly. Sprinkle the remaining mozzarella and the cheddar cheese over the top to create a delicious, golden crust.
Place the dish in your preheated oven and let it bake for approximately 25 minutes. You are looking for the cheese to be completely melted and the sauce to be bubbly around the edges.