Cut rice cakes and fish cakes into bite-sized pieces.
Slice the green onion.
Heat oil in a pan and sauté the green onion to make green onion oil.
Add rice cakes and fish cakes, stir-fry together.
Add gochujang (Korean chili paste), chili powder, soy sauce, sugar, and water, then bring to a boil.
Dice the tomato and add to the pan.
Simmer until the sauce is absorbed and the rice cakes become soft.
Top with mozzarella cheese and eggs, cover, and cook until the cheese melts.