01 - Preheat the oven to 350°F. Line two baking sheets with parchment paper.
02 - In a medium bowl, whisk together the all-purpose flour, baking powder, baking soda, and salt. Set aside.
03 - In a large bowl, cream together the granulated sugar and softened coconut oil (or vegan butter) until light and fluffy.
04 - Add the non-dairy milk and pure vanilla extract to the creamed mixture, mixing until well combined.
05 - Gradually add the dry ingredient mixture to the wet ingredients, stirring until just combined. Be careful not to overmix.
06 - Gently fold the finely diced peaches into the dough, distributing evenly without overworking.
07 - Scoop tablespoon-sized portions of dough and roll into balls. Roll each ball in the extra granulated sugar to coat evenly.
08 - Place the coated dough balls on the prepared baking sheets, spacing them about 2 inches apart.
09 - Gently flatten each dough ball slightly using your palm or the bottom of a glass.
10 - Bake for 11 to 13 minutes, or until the edges are lightly golden.
11 - Let the cookies cool on the baking sheets for 5 minutes, then transfer to a wire rack to cool completely.