Using your hands, gently mix the ground meat with the teriyaki in a medium bowl. Be careful not to overwork the mixture as that can toughen the meat. Divide into four quarter-pound patties.
Grill pineapple slices for approximately 1 minute on each side on your grill of choice.
Cook burgers until desired doneness on a grill. Place a piece of bacon on each and then top with a piece of Jack cheese to hinge the bacon in place. Top with a grilled pineapple slice and serve on hamburger buns spread with spicy cilantro mayo.