Place the sauce into a saucepan with the Italian seasoning and red pepper flakes.
Remove 1/2 cup of the pasta sauce mixture; place in large bowl. Add chicken, 1 cup mozzarella, Parmesan, and eggs; mix lightly.
Spread 1/2 cup of chicken mixture along the length of each noodle; roll up.
Spread 1/2 cup of the remaining pasta sauce mixture onto bottom of 13x9-inch baking dish sprayed with cooking spray; top with lasagna roll-ups, seam sides down.
Cover with remaining pasta sauce mixture; sprinkle with remaining mozzarella.