Combine the base: In a small saucepan, whisk together tomato paste, apple cider vinegar, and 1 cup of water or broth until smooth.
Season it: Add 2–3 tablespoons keto sweetener, 1 tablespoon Worcestershire, 1 tablespoon yellow mustard, 1–2 teaspoons smoked paprika, 1 teaspoon garlic powder, 1 teaspoon onion powder, 1/2 teaspoon black pepper, and 1/2 teaspoon salt.
Optional kick: Stir in a pinch of cayenne or 1/4 teaspoon chipotle powder if you like heat. Add 2–4 drops liquid smoke if using.
Simmer: Bring to a gentle simmer over medium heat. Reduce heat to low and cook for 12–15 minutes, stirring occasionally, until thickened and glossy.
Taste and adjust: Add more sweetener for sweetness, vinegar for tang, or water to thin.
Salt to taste.
Cool and serve: Let the sauce cool slightly. It will thicken as it cools. Brush on grilled meats or use as a dipping sauce.