Prepare pasta according to package directions.
Spray a Dutch oven or large skillet with cooking spray; place over medium-high heat until hot. Add chicken and saute 4 minutes or until cooked through. Drain well and set aside.
Recoat Dutch oven with cooking spray and place over medium-high heat until hot. Add mushrooms, carrots and onions; saute 6 minutes. Set aside. Place flour in a medium saucepan. Gradually add milk, stirring with a wire whisk until blended; stir in sherry. Bring to a boil over medium heat and cook for 5 minutes or until thickened, stirring constantly. Stir in salt and red pepper. Reserve one
In a bowl, combine ricotta cheese, 1 cup mozzarella cheese and Swiss cheese. Preheat oven to 350 degrees. Spread 1 cup of the sauce over the bottom of a 13x9x2-inch pan. Arrange 4 pieces of the lasagne (3 lengthwise, 1 widthwise) over the sauce. Top with half of ricotta cheese mixture, half of chicken mixture and half of remaining sauce mixture. Repeat layers, ending with 4 pieces of lasagne. Spread reserved 1 cup of sauce over the last complete layer of lasagne, being sure to cover the lasagne completely.
Cover lasagne with foil and bake 1 hour. Uncover lasagne, sprinkle remaining ½ cup mozzarella cheese on top and bake an additional 5 minutes uncovered. Re-cover and let stand 15 minutes before serving.
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