Combine all the SAUCE ingredients in a bowl and mix well until the brown sugar is completely dissolved.
Heat a wok or large skillet over high heat. When it starts to smoke, add 1 tablespoon of oil. Add the beef in a single layer and allow it to lightly brown. Flip and brown the other side. Remove and set aside.
Add the beaten eggs and lightly fry until cooked. Use the spatula to cut it into small pieces. Remove and set aside.
Add another tablespoon of oil to the wok or skillet. Add garlic and fry until it begins to change color. Be careful not to burn it.
Add Chinese broccoli and carrots and stir fry until the gai lan leaves begin to soften and wilt.
Add rice noodles and pour the sauce over the top. Add the previously cooked beef and eggs. Give it a good toss until the noodles are evenly coated in sauce. Serve Pad See Ew immediately.