In a bowl combine flour, baking soda, baking powder, cinnamon, nutmeg, ginger, salt, carrots, raisins, and pecans.
Add in sourdough discard, greek yogurt, and melted butter. Mix until dough starts to come together, then pour onto the counter and knead for 5 minutes. Adding more flour if dough becomes too sticky.
Section dough into 16 pieces and shape each piece into a round ball. Place round balls onto a piece of parchment paper.
Bake in air fryer or oven for 5-6 minutes, turn each ball and bake an additional 5-6 minutes. If baking in oven bake for 6 minutes each side.
In a small bowl combine softened cream cheese, softened butter, powdered sugar, and vanilla bean paste. Mix to combine. Add in heavy cream until desired consistency is achieved.
Remove donut holes from oven or air fryer, allow to cool until you can handle them. Dip into cream cheese glaze and enjoy!