Shred cabbage and carrots.
Beat eggs and season with salt and pepper.
Mix the vegetables into the beaten eggs.
Melt butter in a pan and pour in the egg and vegetable mixture, cook as an omelette.
Spread butter on both sides of the bread and toast it in the pan.
Place the cooked egg and vegetable omelette on the toasted bread.
Sprinkle sugar, ketchup, and mayonnaise, then cover with the other slice of bread.