Prep the pork roast. Add the pork to your slow cooker. Pour the chicken broth, 1/2 cup soy sauce, 1/4 cup rice vinegar, fish sauce, Thai red curry paste, ginger, sambal oelek, lime juice, Chinese five-spice powder, black pepper, and 1 tablespoon brown sugar.
Cook. Cover the slow cooker and cook on low for 7-8 hours or on high for 4-6 hours. Remove the pork from the slow cooker and then add the mushrooms to the slow cooker. Cover and turn to high. Shred the pork using 2 forks.
Caramelize the pork. Heat a large skillet over medium heat. Add the sesame oil. Once hot, add enough pork to cover just the surface of your skillet, do not overcrowd the skillet. Sprinkle a little brown sugar over the pork, add 2 tablespoons soy sauce and 2 tablespoons rice vinegar, and mix well. Allow the pork to caramelize for about 2 minutes. Stir and allow the pork to continue to caramelize, about 3-5 minutes total. Remove the pork from the skillet, and repeat with the remaining pork. Be patient with the process, you get so much flavor from caramelizing the pork slowly.
Add the ramen noodles. Add the Ramen noodles to the slow cooker and cook for 5 minutes. Once the noodles are cooked, stir in half of the pork.
Serve. Ladle the soup into bowls. Top with extra caramelized pork and your favorite toppings such as boiled eggs