Preheat oven to 350 degrees. Meanwhile, cook lasagna noodles 2 minutes less than package directions (they will continue to cook when baking in the oven).
While the noodles are boiling, heat a large skillet over medium heat. Add ground beef and Italian sausage and break up with a wooden spoon. Cook until no longer pink. Drain excess grease and set aside.
In a medium bowl, mix together ricotta, egg, 1 cup of shredded mozzarella and basil. Mix ground beef mixture into the ricotta.
Spread half a cup of the spaghetti sauce in the bottom of a 9x9 pan.
Lay out lasagna noodles on a flat surface. Divide ricotta mixture evenly among the noodles. Spread out over the noodles and roll them up. Place in the prepared baking dish, seam side down. Pour desired amount of sauce over the lasagna roll ups. Top with remaining cup of cheese. Cover loosely with foil and bake for 25 minutes. Remove the foil and bake another 10 minutes. If desired, turn on broiler to get the cheese golden and bubbly. Watch very closely as it can burn quickly.