Cook lasagna noodles according to package instructions. Boil chicken breasts until fully cooked. Shred and put in a medium bowl. Pour the Alfredo sauce over chicken and stir. In a separate small bowl, combine bread crumbs and Parmesan cheese. Spray 8×8 pan with cooking spray. Spread a thin layer of sauce mixture on bottom of pan, just to wet it. Top with three rows of noodles (cut them with kitchen shears in order for them to fit in the pan). Use the smaller pieces to cover one row.
Next, evenly spread the container of cottage cheese over the noodles. Sprinkle Mozzarella cheese over the top of the cottage cheese. Top with three more rows of noodles, again cutting them to fit. Spread half of remaining sauce mixture over the top of the noodles and then top with last noodles. Spread last half of the sauce over the top of the noodles and sprinkle bread crumb/Parmesan cheese mixture over the top. Bake at 350 degrees Fahrenheit, covered in foil, for about 30 minutes, or until bubbly. Remove the foil for the last 5-7 minutes of bake time so the bread crumbs can brown.