Heat oil in a skillet over medium heat. Saut green pepper, onion and garlic until tender; drain.
Transfer to a bowl; stir in spaghetti sauce and browned beef. In skillet, layer 1/3 of sauce mixture, half the lasagna noodles, half the cottage cheese, 2 slices of mozzarella and half the Parmesan. Repeat layers. Top with remaining sauce, making sure to cover all noodles. Cover and simmer over medium-low heat for 10 to 15 minutes.
Remove from heat and let stand for 10 minutes before uncovering and serving.