These cookies taste best the day they are made.  Countertop: Keep unfrosted cookies on the countertop in an airtight container for up to 5 days.  Fridge: This is the best way to keep these cookies. Store the frosted or unfrosted cookies in a sealed container in the fridge for up to 5 days. The longer these cookies sit, the more dried out they become. Because there is buttercream frosting, they need to be kept in the fridge. If you use pure vegetable shortening in place of butter, you can keep them on the countertop for 2 days.  Freezer: Freeze frosted or unfrosted cookies in a freezer safe container with sheets of parchment between the layers of cookies for up to 2 months. Allow them to come to room temperature before eating after freezing.