Remove the core of the cabbage and shred vegetables using a sharp knife, the large holes of a box grater, or a food processor.

Place the shredded cabbage and carrots in a large bowl.

In a small bowl, whisk together mayonnaise, honey, apple cider vinegar, lemon juice, salt, and pepper until smooth and creamy.

Pour the dressing over the cabbage mixture and give it a good stir until everything is evenly coated.

Cover and refrigerate in an airtight container for at least 1 hour before serving.

Serve chilled as a side with bbq chicken, pork sandwiches, fish fry, or on top of sandwiches for the best flavor.