Add Ingredients to the Instant Pot: Add the chicken broth to the Instant pot, followed by the chicken thighs, and diced onion. Sprinkle with the brown sugar, garlic, paprika, and kosher salt. Combine 1/2 cup of the barbecue sauce with Worcestershire sauce and spoon over the ingredients in the Instant pot, without stirring.

Pressure-Cook: Lock the lid in place and ensure the knob is set to the sealing position. Set the pot to pressure cook, high pressure, for 15 minutes. When the time is up, let the pressure come down naturally for 10 minutes, then release the remaining steam.

Finish the Dish: Add the remaining 1 cup of barbecue sauce to the Instant pot and stir; press the sauté setting and simmer for 5 to 10 minutes or until the sauce is thickened. Meanwhile, shred the chicken with 2 forks or in the stand mixer with the paddle attachment. Add the shredded chicken to the sauce.

Serve and Enjoy: Fill buns with the shredded chicken mixture and extra barbecue sauce.