Turn on the pressure cooker and select sauté. Once hot add oil, ground turkey, ground sausage, and diced onion to the pot. Cook 5-7 minutes, crumbling the ground meat as it cooks. Add garlic and cook an additional minute. You might need to do this in batches. Drain fat excess grease if needed.
Stir in black-eyed peas, greens, hot sauce, chili powder, salt, paprika, thyme, pepper, diced tomatoes, and tomato sauce. Stir to mix well.
Close lid and seal valve. Cook high pressure for 20 minutes. Natural release pressure for 5 minutes then quick release any remaining pressure. Stir before serving.