Preheat oven to 375 ° F.
Add the eggs, yogurt, and vanilla and stir until combined.
On top of the wet ingredients add flour, baking powder, baking soda, salt, and pumpkin pie spice. Mix the dry ingredients together on top before beginning to incorporate the wet ingredients.
Continue mixing the batter until everything is just combined.
Grease 18 silicone doughnut molds and use a scoop to evenly fill the molds. If you do not have silicone doughnut molds or do not have enough (I only have 12) you can also use muffin tins.
Bake in 375° F oven for 16-18 minutes.
Once the doughnuts are done cooking, remove them immediately from the molds to prevent them from getting soggy.
Once the doughnuts are cool, make the glaze by whisking together applesauce, cinnamon, and powdered sugar, until smooth.
Dip each doughnut into the glaze, making sure the top is fully covered. Place on a cooling rack over a cookie sheet to catch any drips and let the glaze dry.