Turn Instant pot to Saute setting. Once hot, add one tablespoon of oil. Once hot, add onion and carrots and cook for a few minutes, stirring constantly.
Pat the ribs dry with paper towels, season on all sides with salt and pepper and coat on all sides with flour. Add 2 more tablespoons of oil to the pot. Add ribs and brown on all sides, then remove to a plate.
Add water to deglaze the pan. Scrape the bottom of the pan to release any browned bits of flavor. Bring to a boil and cook 2 minutes.
Return ribs, and veggies to the pot and add sprigs of thyme and rosemary. add tomato paste on top.
Secure instant pot lid. Cook on Manual/High Pressure for 45 minutes with a 15 minute natural release.
Remove instant pot lid, and carefully remove short ribs to a plate and cover to keep warm.
