Heat a medium sized pot on high and add in the oil. When the oil lightly smokes, add in the kālua pig and onions and sauté for one minute. Add in the carrots, gobo, konnyaku, ‘ulu and tofu, then continue cooking for one more minute.
Deglaze with the dashi and bring to a quick boil. Once boiling, add in the sugar, shoyu and miso, then bring the soup back to a boil and serve hot.