Prepare the dry rub. In a small bowl, mix the dry rub ingredients: salt, pepper, cumin, coriander, garlic powder, and cayenne pepper. Rub the mixture evenly over all sides of the pork.
Sear the pork. Heat the olive oil in a medium skillet over medium-high heat. Carefully sear the pork for 1-2 minutes on each side, turning with tongs, until browned. Then, transfer the pork to your slow cooker.
Slow cook the pork. Pour the water and liquid smoke into the slow cooker. Cover and cook the pork on high for 4-4½ hours or low for 8 hours until tender.
Shred the pork. Once cooked, carefully remove the pork from the slow cooker and place it on a cutting board. Then, shred the pork into bite-sized pieces using two forks, discarding large fatty pieces.
Season the pork. In a large bowl, combine the shredded pork with salt, pepper, chili powder, smoked paprika, and cayenne pepper. Mix thoroughly using tongs to make sure the pork is evenly seasoned.
Prepare the sweet enchilada sauce. Whisk together the brown sugar and ¾ cup of green chile enchilada sauce in a small saucepan. Heat over medium-low, stirring until the sugar is fully dissolved. Then, pour the sauce over the shredded pork and toss gently with tongs to coat evenly.
Serve the pork. The shredded sweet pork is now ready to serve! Use it as a filling for burritos, tacos, quesadillas, enchiladas, or even salads and rice bowls. For burrito or taco ideas, see below.