Combine the pineapple juice, soy sauce, Worcestershire sauce, and cornstarch in the sauce pan.
1⅓ cup pineapple juice, ⅓ cup soy sauce, 2 teaspoon Worcestershire sauce, 2 tablespoon cornstarch
Whisk the tomato paste, honey, molasses, ginger, allspice, and garlic powder until blended.
4 tablespoon tomato paste, 3 tablespoon honey, 2 tablespoon molasses, 1 teaspoon ginger, 1½ teaspoon allspice, 1½ teaspoon garlic powder
Add the pineapple and bring the sauce pan to a boil, stirring constantly. Lower the heat to a simmer, and cook for 5 minutes. If using fresh pineapple, you will need to cook for 7 minutes, so the pineapple fully cooks and releases any juices.
1⅓ cup crushed pineapple
Add the liquid smoke and taste. Adjust seasoning with more pineapple juice if you want sauce thinner. Add chipotle chili powder or cayenne if you prefer a spicier barbecue sauce.
½ teaspoon liquid smoke, ¼ teaspoon chipotle powder
Pour the Pineapple BBQ sauce into clean, dry jars and let cool completely before sealing the lids. Store in the refrigerator for up to 2 weeks.