Position a rack in the center of the oven and preheat to 400°F.
Lightly butter (or oil) the sides of a 3.5-Quart sauteuse pan or baking pan. Add approximately 500 ml of the pasta sauce into the bottom of the pan.
Spread parchment paper over your working surface/table large enough to fit 9 rows of 2 pieces of pasta. Spray lightly with an olive oil cooking spray.
Prepare your rows: Lay 2 pieces of pasta, overlapping an inch in the middle. Repeat until you have created 9 rows.
Divide the squash mixture evenly between the 9 (double length) noodle sets. Then use a spoon to create an even layer of squash. Next, evenly spread the béchamel sauce over the squash. Sprinkle the shredded mozzarella evenly over the béchamel and then layer the turkey slices, 3 halves per noodle set. (optional).
Starting at one end, carefully roll a lasagna noodle set, taking extra care when you get to the overlapping seam. Try not to roll too tight, because the layers will squeeze out.
Once you reach the end, turn the roll so a ‘pinwheel’ side faces up and gently nestle it into the tomato sauce at the bottom of a 3.5-qt sauteuse. Repeat for the next eight rolls.
Spoon pasta sauce in between the lasagna rolls and lightly overtop. Be sure to leave the sauce ½-inch below the top of the pan so that it does not boil over. Keep any remaining sauce warm for serving.
Sprinkle ¼ cup the Parmesan over the rolls.