Heat 1 tablespoon of olive oil in a skillet over medium heat. Add beaten eggs and cook, stirring frequently, until scrambled and fully cooked. Transfer to a plate.
In the same skillet, add another tablespoon of olive oil. Sauté onion and garlic for about 1 minute until fragrant.
Add 2 more tablespoons of olive oil, then stir in the cabbage and carrot. Cover the skillet and cook for 3-4 minutes until slightly tender.
Stir in the light soy sauce, dark soy sauce, oyster sauce, and sugar. Mix thoroughly and cook for another 1-2 minutes. Adjust salt if needed.
Return the cooked eggs to the skillet, mixing them with the vegetables. Serve hot, optionally over rice or noodles for a complete meal.
Notes
Customize the dish by adding your favorite protein or additional vegetables. Serve over rice or noodles for a heartier meal.