Add the olive oil to the Instant Pot®. Select Sauté and adjust to the More or High setting. After 3 minutes, when the oil is heated, add the onion, carrots, celery, and zucchini. Cook for 5 minutes, stirring occasionally, until slightly softened. Add the garlic, stir well, and cook for another minute until fragrant.
Add the broth, crushed and diced tomatoes, kidney and cannellini beans, oregano, basil, thyme, pepper, and seasoned salt. Stir to combine.
Stir in the pasta and frozen pre-cut green beans. Place the baby spinach on top, but do not stir—just lay the spinach on top of the broth and veggies. It may seem like a lot and be close to the brim of the pot, but it will cook down significantly.
Secure the lid, move the valve to the sealing position, press Keep Warm/Cancel, then Pressure Cook on High Pressure for 5 minutes. Perform a quick release when cooking is complete, then stir well.
Serve topped with grated Parmesan, if desired, along with some warm, crusty bread. Enjoy!