Heat olive oil in large pot over medium high heat. Add onion and sauté until beings to soften. Add garlic and cook another minute.
Add chicken broth, tomatoes, tomato paste, Italian seasoning, and chicken to pot. Season with salt and pepper.
Bring to a boil and reduce heat to medium low. Cover and simmer 10 minutes. Add lasagna noodles and cook until noodles are tender, about 10 more minutes.
In a bowl, stir together all cheeses. Serve soup in bowl topped with dollop of cheese mixture. Top with basil and/or fresh parsley. Serve.