Mix all ingredients except for the last four in a large mixing bowl. Make sure all ingredients are evenly distributed and well mixed. Form into two equal sized patties.
Heat oil in a nonstick pan over medium-low heat. Preheat oven to broil.
When oil is sizzling, place shrimp burgers in the oil carefully. Cover. Cook 5-6 minutes. While shrimp patties cook, open up burger buns and brush melted butter onto both the top and bottom of each bun.
Flip and re-cover cooking the other side another 5-6 minutes or until the patties reach an internal temperature of at least 145 degrees. If the burgers brown too quickly or begin to burn, reduce the heat. While shrimp finishes cooking, broil burger buns buttered side up for 1-2 minutes to toast them.
Once shrimp patties are done, spread remoulade sauce on bottom bun, then place the shrimp burger on top, followed by the coleslaw. Serve with remaining coleslaw, remoulade sauce for dipping and any sides of your choice.
Enjoy!