Begin by preparing the cabbage. Slice the red cabbage into 8-10 wedges, leaving the core intact.
Thinly slice one large Honeycrisp apple into 1/8 inch pieces either by hand or using a mandolin, making sure to avoid the core. Apple slices should be thin and pliable.
Working with one cabbage wedge at a time, gently pull back individual layers, inserting one apple slice. Continue with all cabbage wedges. Each wedge should be stuffed 4-6 apple slices in between individual cabbage layers. Lightly coat finished wedges with 1 tbsp olive oil, 1 tsp salt, and 1 tsp black pepper.
Next make the braising dressing. Place unsalted butter in a small microwave-safe mixing bowl. Microwave at 10 second intervals until melted. In the same small mixing bowl, combine melted butter with 2 tbsp whole grain mustard and 1 tsp salt. Mix well until combined.
Air Fry stuffed cabbage wedges at 385°F for 15-17 minutes. Work in batches if necessary to avoid crowding the air fryer basket. Baste the cabbage with the butter-mustard mixture about five minutes before the cabbage has finished cooking. Remove from the air fryer once charred and fragrant.
While the cabbage is cooking, prepare the honey mustard sauce. In a medium mixing bowl combine 1/3 cup mayonnaise, 2 tbsp honey, 2 tbsp Dijon mustard, 1/4 cup white distilled vinegar, and 1/2 tsp salt. Stir until thoroughly mixed. Set aside.
Next prepare the cooked apples. Quarter and de-core the remaining 2 Honeycrisp apples. In a small mixing bowl, toss the apples wedges with 1 tbsp olive oil, 1 tsp chili powder, and 1/2 tsp salt.
Air Fry apples at 400°F for 8-9 minutes, skin side down. Set aside.
Plate the dish by spreading a generous amount of honey-mustard sauce on the bottom of the plate. Top with 2-3 roasted red cabbage wedges. Sprinkle around 2-3 roasted chili apples and fresh dill. Enjoy!