Core and place the tomatillos on a sheet pan and cook at 400 degrees F. for about 10 minutes, or until tender.
Meanwhile, roast the poblanos and jalapenos over an open flame and peel.
Place the tomatillos, poblanos, jalapenos, garlic, onion, ½ cup of chicken broth in a blender. Blend until smooth.
Add the remaining chicken broth to a large stew pot over medium high heat. Stir in the content of the blender and shredded pork. Bring the mixture to a boil then stir in the Mesquite seasoning, chili seasoning, green chilis, and BBQ sauce.
Reduce the heat to medium-low and continue to cook for another 30 minutes, stirring occasionally. Serve warm.
Notes
You can view our pulled pork recipe here: https://www.youtube.com/watch?v=2hwpCDvijwc&t=26s