Finely dice the onion and mince the garlic. Set the Instant Pot to sauté and wait for it to heat. Warm the olive oil in the Instant Pot insert.
Remove the pork sausage from its casing and add to the pot.
Cook the sausage for 4 to 5 minutes until thoroughly cooked, breaking it up with a wooden spoon as it browns. If the sausage is very fatty, drain off some of the fat.
Add the onion, garlic, and rosemary. Fry for 4 more minutes until the onion is translucent.
Pour in the broth or stock, marinara sauce, and water.
Add the bay leaves.
Season with salt and pepper.
Stir the soup well.
Bring the soup to a simmer.
Meanwhile, break up the lasagna noodles into one-inch pieces.
Add the broken pasta to the pot, ensuring it is submerged in the soup.
Turn off the pot by pressing “Cancel.”
Put the lid on tightly and ensure that the vent or steam release knob is sealed.
Depending on your model, select the “Pressure Cook” or “Manual” function.
Program the Instant Pot for 6 minutes, using the dial or + and – buttons.
When the time is up, the pot will beep. Let the pressure release for 5 minutes before pressing “Quick Release” or turning the “Steam Release” knob.
Open the lid and stir the soup, loosening any noodles that have stuck together.