Cream butter and sugar together until light and fluffy.
Add eggs in one at a time until well mixed. Add vanilla and sourdough until just mixed.
In a separate bowl, mix dry ingredients.
Add dry to wet ingredients slowly until just incorporated.
Empty dough onto a cutting board and form 2 rough disks. Wrap in plastic wrap and refrigerate for at least a few hours or up to 4 days for long fermentation.
When dough is ready, place onto lightly floured surface and roll to ¼-inch thick.
Preheat oven to 350°F.
Use a small jar, cup, or cookie cutters, cut shapes into dough.
Carefully place cookies on a tray lined with parchment paper.
Use leftover dough cuttings by squishing thoroughly together and re-rolling to ¼-inch thickness and use cutters until remaining dough is all used up.
Bake for 8-10 minutes until just starting to lightly brown.
Cool completely before icing or decorating.