In a small bowl, whisk together the coconut aminos, grated fresh ginger, and minced garlic to create the stir-fry sauce.
Slice the flank steak into thin, bite-sized strips against the grain and season with sea salt and black pepper.
Heat the toasted sesame oil in a large skillet or wok over medium-high heat until it begins to shimmer.
Add the beef strips to the skillet in a single layer and sear until browned on all sides, approximately 2 to 3 minutes, then remove the beef and set it aside.
In the same skillet, add the broccoli florets and julienned carrots with a tablespoon of water; cover and steam for 2 minutes until tender-crisp.
Return the beef to the skillet and pour the prepared sauce over the meat and vegetables.
Toss everything together for 1 to 2 minutes until the sauce thickens slightly and coats the ingredients evenly.
In a separate small pan, sauté the cauliflower rice over medium heat for 3 to 5 minutes until softened and hot.
Serve the sesame beef and broccoli over the cauliflower rice and garnish with the sesame seeds.