Preparation of Ramen: Cook the ramen noodles according to the instructions provided on the package. Once cooked, drain and set aside.
Cooking the Beef: Heat the vegetable oil in a large skillet over medium-high heat. Toss the sliced sirloin steak with cornstarch until evenly coated. Add the coated beef to the skillet and sear for approximately 2 minutes on each side or until browned. Remove the beef from the skillet and set aside on a plate.
Creating the Sauce: Reduce the heat to medium-low and add the toasted sesame oil to the skillet. Introduce the minced garlic and ginger to the oil, cooking until fragrant, about 1 minute. Follow this by adding the soy sauce, brown sugar, and broth. Increase the heat to bring the mixture to a boil, then reduce the heat and let it simmer for 3 to 5 minutes, or until the sauce thickens.
Vegetable Cooking: To the skillet, add the broccoli florets and carrot matchsticks. Cover the skillet with a lid and allow the vegetables to cook until tender, which should take about 5 minutes.
Combining Ingredients: Return the cooked beef to the skillet and stir to coat with the sauce. Add the previously set aside cooked ramen noodles and sliced scallions to the skillet. Stir all ingredients together until well combined.
Garnishing and Serving: Sprinkle toasted sesame seeds over the dish as a garnish before serving.