To begin add about 3 inches of oil, I use avocado oil, to a sauce pan or fry pan and set on medium high heat. You can use a thermometer, I just eyeball this. The temperature should be around 375°.
In a large mixingbowl cream together the butter, sugar, and brown sugar. Add eggs one at a time and vanilla extract.
In a medium bowl sift together flour, baking powder, baking soda, and salt.
Add the pumpkin ,cinnamon, and pumpkin pie spice to the butter mixture.
Now, add the buttermilk and flour mixture alternating until it is all combined.
Turn the dough onto a floured work surface. Pat out the dough to ½-¾ of an inch thick. Using a donut cutter or a biscuit cutter 2-3" width cut out the donuts!
Once the oil is hot enough test it with a small peice of dough. It should bubble and fry immediatley when the dough hits the oil.
Fry for a few minutes on the first side and a couple minutes and the last side. Don't over crowd the frying pan. Remove donuts and place on paper towels to absorb excess oil then coat in topping mixture.