Set the Instant Pot to sauté mode. Add the Italian sausages and break them apart with a spoon or mincer until they are browned and crumbled. Remove any excess fat.
Add the diced onion, minced garlic, dried herbs, smoked paprika, salt and pepper to the pot. Give it a good stir then add a splash of broth and scrape the bottom to prevent burning.
Pour in the beef broth, crushed tomatoes and marinara sauce. Stir to combine and let it simmer/boil for about 2 minutes.
Add the broken lasagna noodles to the pot, ensuring they are submerged in the liquid.
Close the Instant Pot lid and set it to manual high pressure for 5 minutes. Once the cooking time is up, perform a quick pressure release.
While the soup is cooking, in a small bowl, mix together the ricotta cheese, mozzarella cheese, Parmesan cheese, salt, pepper and parsley. Set aside.
Once the pressure is released, carefully open the Instant Pot lid and stir the soup well.
Pour in the heavy cream and about 1/4 cup of the ricotta mixture. Stir it all together until the cheese is melted and the soup is creamy.
Ladle the soup into serving bowls. Top each bowl with a dollop of the ricotta cheese mixture. Garnish with extra parsley or basil if desired.