Cut cabbage into 6 wedges each and remove core. Shred cabbage in a food processor fitted with a shredding disc, emptying it into a large bowl as it fills. Set aside.
Core and peel apples; cut into 6 wedges. Thinly slice the apple wedges. Toss with lemon juice in a small bowl.
Whisk oil, vinegar, ginger, honey, mustard, garlic, salt and pepper in a small bowl until well combined.
Add the apples and lemon juice to the cabbage. Drizzle with the dressing and toss to coat. Add cranberries and toss again. Sprinkle with sunflower seeds. Cover and let stand for 15 minutes before serving. If preparing more than 30 minutes before service, refrigerate.