In a large separate pot, bring a large pot of water to boil and add the broccoli. Boil for 2-3 minutes or until just turning tender, then drain and set aside.
Turn instant pot to saute mode, and add the oil. Once hot, add the beef to brown. Brown on all sides, then remove beef to a plate.
Add the diced onion and garlic and saute for 2 minutes or so until softened
Add the beef broth, soy sauce, and sweet chili sauce, then place the lid on the instant pot and seal. Select high pressure and set a cook time of 12 minutes.
After cook time is over, quick release the pressure, remove the lid, and turn onto saute mode. Bring the mixture to a boil, add the broccoli back in and add the ramen noodles. Stir and cook for 2-3 minutes or until the noodles have cooked.
Serve with extra soy sauce, chili sauce, and red chili pepper flakes if desired. Enjoy!