Preheat you electric pressure cooker using the SAUTE function, adjust the heat to MORE. When the display panel reads HOT, add the olive oil, onion, carrots and celery.
Let the vegetables soften, stirring occasionally, for three minutes. Stir in the garlic and allow it to become fragrant, about 1 minutes. Add the broth, beans, tomatoes, garlic powder, basil, oregano, sea salt, and black pepper.
Place the lid on the pot and make sure the vent valve is in the SEALING position. Select the MANUAL/PRESSURE COOK function. Use the +/- buttons to adjust the time to 25 minutes.
When the time is up, open the vent valve to quickly vent the pressure. Remove the lid and stir in the baby spinach. It will wilt from the heat of the soup. Let the soup sit for 10 minutes before serving.