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In a medium sauce pan, heat sesame on medium high heat.
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Add garlic and sauté for about 2 minutes.
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Add white wine, soy sauce, white vinegar, sugar and fresh ginger.
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Reduce heat to medium heat.
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Cook, stirring occasionally, until sugar has completely dissolved, about 20 minutes.
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Combine corn starch and water into a paste.
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Add cornstarch paste to pan and stir until sauce begins to thicken.
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Remove from heat and stir in green onions.
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Make burger patties or use frozen patties.
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Grill on a hot grill until your desired doneness.
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Right before the burgers are done cooking, add the pineapple rings.
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Cook for 2 minutes on each side.
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Assemble the burgers and place a spoonful of teriyaki sauce over the patty.
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Top with grilled pineapple and bread and enjoy!