Preheat a steamer over medium heat and line a baking pan with aluminum foil. Set aside.
Combine ground beef with 2 eggs, coconut flour, pepper, minced garlic, and chopped broccoli in a food processor then process until smooth.
Transfer the mixture to the prepared baking pan then spread evenly.
Place the baking pan in the steamer then steam the nugget for approximately 20 minutes or until set.
Remove the baking pan from the steamer and let it cool.
When the nugget is already cool, take it out of the baking pan then cut into thick slices.
Crack the remaining egg then place in a bowl. Stir the egg until just incorporated.
Dip nugget into the egg then roll in the grated coconut.
Refrigerate the beef nugget for at least 2 hours.
Remove the beef nugget from the refrigerator and fry.
Serve and enjoy.