Prepare Homemade Teriyaki Sauce in a small saucepan over medium heat, mixing soy sauce, mirin, grated ginger, minced garlic, brown sugar, and rice vinegar until thickened.

Make Burger Patties by combining ground beef with cooled teriyaki sauce and panko breadcrumbs. Season and form into four equal patties.

Cook Patties on a grill or skillet over medium-high heat for 4-5 minutes on each side until they reach an internal temperature of 160°F.

Create Cheese Skirt by forming a mound of grated Parmesan cheese on a flat surface, placing patties on top when almost done cooking to form a crispy skirt.

Assemble Burger by toasting buns, spreading teriyaki sauce, placing the patty, and adding lettuce, tomato, and onion.