When the body is sore, it needs protein to recover, so taking extra protein would maybe be beneficial up to a point, but I wouldn't say that the body would necessarily want to burn more calories, especailly if you're sitting on your butt doing nothing but trying to recover. Calories from any other source (carbs, fat) would just be stored by the body as fat if they're not needed - why would the body want to take in calories from all macronutrient sources just because it's sore?
So my answer would be, take in extra protein to help you recover, but keep the carbs and fats the same.