Preheat oven to 400 degrees. Heat olive oil in large skillet. Add onion and cook for 5 minutes over medium-low heat, until translucent. Add garlic and cook 1 more minute. Add sausage and cook over medium-low heat, breaking up with fork, until no longer pink, 8-10 minutes. Add tomatoes, tomato paste, 2 tablespoons of parsley, basil, 1 1/2 teaspoons of the salt and 1/2 teaspoon of pepper. Simmer, uncovered, over medium-low heat, for 15-20 minutes, until thickened.
Meanwhile, fill a large bowl with hottest tap water. Add lasagna noodles and allow to sit in water for 20 minutes. Drain.
In medium bowl, combine ricotta, goat cheese, 1 cup of Parmesan cheese, egg, remaining 2 tablespooons of parsley, remaining 1/2 teaspoon salt, and 1/4 teaspoon pepper. Set aside.
Ladle 1/3 sauce into 9 x 13 rectangular baking dish, spreading the sauce over the bottom of the dish. Then add layers as follows: half the pasta, half mozzarella, half ricotta, and one 1/3 of sauce. Add rest of pasta, mozzarella, ricotta, finally sauce. Sprinkle with 1/4 cup of Parmesan. Bake for 30 minutes or until sauce is bubbling.