Cook noodles in salted water according to package directions.
Heat a large skillet on medium high, sprayed with oil. Add minced garlic and vegetables. Sauté for about 3 minutes until the vegetables begin to soften.
Preheat oven to 375° and spray a casserole dish with cooking spray.
Reduce heat on skillet to medium low and add butter. When melted, add flour and a pinch of salt. Stir well for 2-3 minutes.
Slowly whisk in chicken broth until well combined over medium heat. Whisk well for 1 minute then add milk and bring to a boil. Simmer on medium heat, mixing occasionally until it thickens (about 7 minutes).
Remove from heat and add shredded cheddar and 1 tablespoon of parmesan. Mix well until the cheese melts.
Add chicken and noodles to the sauce and mix well.
Pour into a casserole dish and top with parmesan and crushed cornflakes. Spray with more cooking spray on top.
Bake for 30 minutes. For a browner top, place under the broiler for a few minutes.