In a saucepan over low heat, stir together the sweet peppers, onion, garlic, ginger, crushed red pepper, lime juice, and salt.
Cover the pan, cooking and stirring occasionally until all the vegetables have softened enough to be blended.
Set the cooked vegetables aside to cool for 20-30 minutes.
After the mixture is completely cooled, add the apple cider vinegar and live starter.
Using an immersion blender or transferring the mixture to a blender, blend until the sauce is your preferred texture. Some lumps are fine.
Transfer the sauce to a Mason jar or other sealable container.
Secure the lid on the jar. Leave the sauce at room temperature out of sunlight for 6-10 hours, then refrigerate until ready to use.