Prepare jackfruit by pulling or shredding the pieces with your hands, discarding any harder pieces of the core.
Heat oil in medium saucepan over medium heat and cook onion 5 minutes or until tender. Add garlic and cook 30 seconds. Add jackfruit and cook 5 minutes.
Stir in remaining ingredients. Bring to a boil, reduce heat and simmer 10 minutes to blend flavors. If sauce is too thick, stir in a little water to desired consistency.
Serve jackfruit on buns topped with slaw or serve in lettuce wraps or tortillas.