In a medium bowl, combine ricotta cheese, large egg, shredded mozzarella, grated Parmesan, dried basil, dried thyme, dried oregano, Italian seasoning, red pepper flakes, salt, and black pepper. Mix well until creamy and set aside.
Turn Instant Pot to sauté. Add olive oil. Once hot, add diced onion and minced garlic; sauté about 3 minutes until fragrant and translucent.
Add ground meat of choice. Season with salt and pepper. Cook until browned and cooked through, breaking meat apart. Drain excess fat if needed.
Pour in entire jar of pasta or marinara sauce. Stir to combine with meat mixture. Turn off sauté.
Lightly grease Instant Pot inner pot. Spread thin layer of meat sauce on bottom. Break and layer no-boil noodles over sauce. Spread one-third ricotta mixture over noodles, then add another meat sauce layer. Repeat layers, finishing with noodles topped with sauce.
Pour 1 1/2 cups water around edges of lasagna layers for pressure cooking.
Seal Instant Pot lid, set valve to sealing. Select pressure cook on high for 25 minutes. After cooking, allow natural pressure release for 10 minutes, then quick release remaining pressure.
Open lid and sprinkle shredded mozzarella evenly on top. If inner pot is oven-safe, broil 3-5 minutes until cheese bubbles. Alternatively, transfer to baking dish and broil.
Let lasagna rest 5-10 minutes before slicing to set layers. Serve and enjoy.