In a medium-sized bowl, whisk together the flour, baking powder, baking soda, and salt. Set aside.
In the bowl of a stand mixer, cream the butter and sugar together on medium speed until light and fluffy.
One at a time, add the eggs, beating to incorporate after each addition. Add the vanilla.
Reducing the speed to low, add the yogurt and orange zest and beat until just combined.
Little by little, add the flour mixture to the bowl of the stand mixer. Beat on low speed until each addition is combined.
Using a cookie scoop, scoop the dough into roughly 36 balls onto the prepared cookie sheets. Refrigerate the dough for at least 1 hour, and up to overnight.
When ready to bake, preheat the oven to 375 degrees F. Distribute the chilled cookie dough balls such that there are 12 dough balls per cookie sheet.
Bake for 13-15 minutes, or until the edges of the cookies are *just* golden.
Remove from the oven and let the cookies cool on the pan for 5 minutes before removing them to a wire rack to finish cooling completely.