Make the sauce: In a medium bowl, combine the soy sauce and cornstarch, whisking until smooth and no lumps are present. Add the beef broth, honey, hoisin sauce, rice vinegar, sesame oil, minced garlic, grated ginger, and cracked red pepper flakes, whisking to blend all ingredients thoroughly. Set aside.
Bring a medium pot of water to a boil. Cook the ramen noodles until just tender, about 2-3 minutes. Drain the noodles and rinse them under cold water to prevent further cooking. Drizzle with 1 teaspoon of sesame oil to prevent sticking.
In a large nonstick skillet, heat olive oil to the skillet, followed by the broccoli. Pour in 1/2 cup of water and cover the skillet. Steam the broccoli for 2 minutes until it is bright green and fork-tender but still retains its texture.
Give the sauce a quick stir and pour it into the skillet. Using tongs, toss the ingredients together as the sauce simmers. Cook for an additional 1-2 minutes until everything is well-coated and heated through.