Heat oil in large skillet, saute next 5 ingredients over medium heat until vegetables are tender (7-10 minutes). Stir in next 6 ingredients; simmer over low heat about 10 minutes. Cook pasta according to package directions; drain. Gently toss oil into noodles; set aside. Beat eggs into ricotta cheese. Spoon about 1/2 cup sauce mixture on bottom of 9x13" pan; cover with half of the noodles. Spread with half of the ricotta, half of spinach, half of Monterey Jack cheese and half of sauce. Repeat layers. Sprinkle with Parmesan cheese. Bake, uncovered, in a 375 degree oven until bubbly in center (45-50 minutes). Let stand 15 minutes before cutting into squares.