Preheat oven to 375°F (190°C). Line baking sheets with parchment paper.
In a large bowl, cream together the butter and sugars until light and fluffy. Beat in eggs one at a time, then stir in the vanilla and applesauce.
In a separate bowl, whisk together the flour, baking soda, cinnamon, nutmeg, and cloves. Gradually add to the wet ingredients, mixing until just combined.
Stir in the apple cider and nuts (if using).
Drop by rounded tablespoons onto the prepared baking sheets.
Bake for 10-12 minutes, or until edges are lightly golden brown. Let cool on baking sheets for a few minutes before transferring to a wire rack to cool completely.
Notes
Store cookies in an airtight container at room temperature for up to 3 days.