Preheat the oven to 350°F. Line two baking sheets with parchment paper.
In a medium bowl, whisk together the flour, cinnamon, nutmeg, allspice, baking powder, baking soda, and salt.
In a large bowl, cream the softened butter, brown sugar, and white sugar with an electric mixer on high speed until fluffy, about 2 minutes.
Add the egg yolks, vanilla, and apple cider reduction. Mix on medium speed until pale and fluffy, about 3-5 minutes. The cider will be sticky, so scrape it out with a spoon.
Add the dry ingredients to the wet ingredients and mix on low speed just until combined. Cover and chill the dough in the fridge for 15-20 minutes.
Scoop the dough into 16 portions with a 1 ½ tablespoon cookie scoop. Flatten each portion slightly, place a frozen cheesecake ball in the center, and roll the dough around it into a ball. Make sure the cheesecake is fully enclosed.
Transfer the cookie dough balls to the prepared baking sheets. Bake 6 cookies at a time for 11-12 minutes.
Right out of the oven, use a large round cookie cutter to shape them into perfect circles. Cool on the baking sheet for 15 minutes, then transfer to a wire rack to cool completely.