Shred the cabbage and carrot.
Crack eggs into a bowl, add salt and pepper, beat together, then add the vegetables.
Melt butter in a pan and toast both sides of the bread until golden brown.
Pour the egg mixture into the pan and cook it flat.
Spread sugar, ketchup, and mustard on the bread.
Place the cooked egg and a slice of cheese on top of the bread and cover with another slice.