If you haven't managed to devour the entire batch of sourdough scones, you may be wondering what to do with the few leftovers. Simply store your sourdough scones in an airtight container and refrigerate for 2-3 days. Alternatively, you can freeze your sourdough scones for up to 3 months or longer, place them into individual freezer bags, so that they don't stick to each other, and freeze till you're ready to eat them again. Though their delicious taste will have you ready to eat them over and over again!