Grate the garlic and ginger. Finely grate the lime zest, then squeeze the lime juice.
Heat the sesame oil in a medium saucepan over medium heat.
Add the grated garlic and ginger and sauté until fragrant, about 1-2 minutes.
Pour in the tomato paste and stir well to combine.
Sprinkle in the brown sugar and chili flakes, then pour in the apple cider vinegar and soy sauce.
Simmer over low heat for 10-15 minutes, allowing the flavors to meld and the sauce to thicken slightly.
Stir in the lime juice and grated lime zest.
Season with salt and freshly ground black pepper, then cook for an additional 2 minutes.
Let cool slightly, then serve with grilled meats, grilled vegetables, or pasta dishes.
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