In a large bowl, combine cabbage, lettuce, 1/4 cup dressing and caraway seed. Place half of the mixture in a medium bowl.
Layer half of the corned beef, remaining cabbage mixture, remaining corned beef, egg slices and cheese. Spread remaining dressing evenly over top of salad. Cover tightly with plastic wrap and chill for 24 hours.
Please note that some ingredients and brands may not be available in every store.