Prepare the jackfruit by pulling shredding the pieces with your hands, discarding any harder pieces of the core.
In a large skillet, heat 1 tablespoon of olive oil to medium heat. Add the sliced onion and salt and cook, stirring occasionally, until soft, 8 to 10 minutes, turning down the heat as necessary. Next, add the shredded jackfruit and cook 5 minutes, stirring occasionally. If necessary, add a splash of water to keep it from sticking to the pan. Stir in the ½ cup water and half of the BBQ sauce. Turn the heat to low, cover, and let simmer for 20 minutes. Remove the cover and stir in half of the remaining BBQ sauce, reserving the rest for serving.
Make the slaw: In a medium-large bowl, combine the cabbage, cilantro, lime juice, olive oil, and pinches of salt and pepper.
Serve the sliders with the jackfruit, the remaining BBQ sauce, the slaw, and desired fixings.