Cook the diced carrots and onion over medium heat for five minutes.
Mix in the garlic and continue cooking until all vegetables have softened (about another three to four minutes).
Place the vegetable mix into a food processor and add the Scotch bonnet peppers, tomatoes, lime juice, vinegar, water, and salt. Blend all the ingredients together until you reach a smooth sauce texture.
Pour the sauce back into the pan and simmer on low heat for 10 to 15 minutes.
Remove the sauce from the heat and let it cool to room temperature before bottling or serving.