Prepare the Sauce : In a small bowl, whisk together soy sauce, cornstarch, beef broth, honey, hoisin sauce, rice vinegar, sesame oil, minced garlic, grated ginger, and red pepper flakes. Set aside.
Cook the Noodles : Cook the ramen noodles according to the package instructions, omitting the seasoning packets. Drain, toss with 1 teaspoon sesame oil to prevent sticking, and set aside.
Cook the Beef : Heat 1 tablespoon olive oil in a large skillet or wok over medium-high heat. Season the beef strips with kosher salt and ground black pepper. Add the beef to the skillet and cook for 2-3 minutes per side until browned and just cooked through. Remove the beef from the skillet and set aside.
Stir Fry the Broccoli : In the same skillet, add the remaining 1 tablespoon olive oil. Add the broccoli florets and stir-fry for 3 minutes. Pour in 1/2 cup water, cover the skillet, and steam the broccoli for 2-3 minutes until tender-crisp. Remove the lid and let any excess water evaporate.
Combine Everything : Reduce the heat to medium. Return the beef to the skillet with the broccoli. Pour in the prepared sauce and stir to coat evenly. Cook for 1-2 minutes until the sauce thickens slightly.
Add the Noodles : Gently toss in the cooked ramen noodles, making sure everything is well coated in the sauce. Cook for an additional 1-2 minutes until the noodles are heated through.
Garnish and Serve : Transfer to a serving dish and garnish with sesame seeds. Serve immediately for the best flavor and texture.