Wash the cabbage, red onion, carrot, and hot pepper, then slice them into thin strips.
Preheat your grill to medium heat or use a grill pan.
In a large bowl, combine the olive oil, BBQ sauce, apple cider vinegar, smoked paprika, garlic powder, salt, and pepper.
Toss the cabbage and red onion strips in the spiced mixture to coat them well.
Place the cabbage and onion on the grill rack and grill for 8-10 minutes, until lightly charred and caramelized.
Grate the carrot and finely chop the hot pepper.
In a bowl, combine the grilled cabbage, onion, grated carrot, and hot pepper.
Drizzle with a little extra BBQ sauce and let it rest for 5 minutes before serving, to allow the flavors to meld.
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