Prepare the Dough: Cream butter and sugar until fluffy, then mix in eggs and extracts. Add flour, baking powder, and salt, and mix until dough forms. Chill for 30 minutes.

Shape the Cookies: Preheat oven to 350°F. Roll chilled dough into balls, indent, fill with peach preserves, reshape, and coat in sugar and cinnamon.

Bake the Cookies: Place cookie balls on a baking sheet and bake for 12-15 minutes until golden on the bottom and soft on top. Watch carefully to avoid overbaking.

Cool and Serve: Let cookies cool for 5 minutes on the baking sheet, then transfer to a wire rack to cool completely before serving.