Set the Instant Pot to SAUTÉ and add the olive oil followed by the onion and garlic. Sauté for 3-4 minutes to soften then hit the CANCEL button.
Add the all-purpose seasoning, sugar, and red pepper flakes followed by the smoked turkey meat and chicken broth. Place the lid securely and set the seal to CLOSED. Turn the pressure cooker setting to HIGH for 20 minutes. Quick-release the pressure for the next step.
Open the pressure cooker and add the greens. Securely place the lid and set the Instant Pot to HIGH for 25 minutes. Again, use the quick-release valve to release the pressure.
After the cooking time, carefully remove the turkey pieces to a plate to take the meat off of the bones. Stir the smoked turkey meat into greens. Season then with a little salt and pepper if desired and serve with vinegar and hot sauce on the side.