Preheat the oven to 350°F and line a large cookie sheet with parchment paper.
Cream the butter with the sugar until fluffy, approximatelyt 2-3 minutes.
Add the egg, then mix again to combine. Pour in the applesauce and mix once more to fully incorporate.
Separately, whisk or sift the flour, salt, baking soda, baking powder, cinnamon and nutmeg.
Using a spatula, combine the dry and wet ingredients, mixing until just combined.
Using a cookie scoop or a tablespoon, place the cookie dough onto the cookie sheet and pat down to flatten. Leave 1 or 2 inches spaces between the cookies, as they will spread when baking.
Bake for 10 minutes or until the surface looks golden. Let cool on the sheet for 5 minutes, then transfer to a wire rack to cool completely.
Once cooled, drizzle with melted white chocolate.
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Notes
Storage: These cookies are best stored at room temperature. Place in an airtight container and store in a dry place for up to 3 days. Although these cookies can last for longer, they can taste stale after 3 days. Freezing: For longer storage, you can also freeze applesauce cookies. Place in an airtight container and freeze for up to 3-4 months. Thaw at room temperature for 10-15 minutes. You can also wrap in a paper towel and heat in the microwave for 15 seconds to get them warm and gooey again.