Prepare the Cabbage and Egg Mixture: In a bowl, combine shredded cabbage, scallions, and salt. Massage the ingredients together with your hands. Crack the eggs into the bowl and stir well. Set aside.
Toast the Bread: Heat a large skillet over medium heat. Evenly spread both sides of the bread slices with soft butter. Toast until golden brown, about 1–2 minutes per side. Set aside.
Cook the Egg Mixture: In the same skillet over medium-high heat, melt 2 TBSP butter to coat evenly. Add the cabbage and egg mixture, shaping it into two rectangles about the size of the bread slices.
Cook for 2–3 minutes until golden brown and crispy, then flip and cook for another 2–3 minutes.
Assemble the Toast: Place each cabbage and egg patty on a slice of toast. Sprinkle the patty with sugar and drizzle with ketchup, if desired. Top with the other slice of toast to complete the sandwich.
Prepare the Cottage Cheese and Orange Juice: Portion the cottage cheese into bowls and drizzle with honey. Pour the orange juice into glasses.
Serve: Plate the Korean street toast alongside the cottage cheese and orange juice. Enjoy your breakfast!