Pumpkin Doughnuts With Spiced Sugar Doughnut Holes

For Spiced Sugar: Whisk all ingredients in medium bowl to blend.

For Doughnuts: Whisk first 8 ingredients in a medium bowl to blend. Using an electric mixer, beat sugar and butter in a large bowl until blended (mixture will be grainy).

Beat in egg, then yolks and vanilla. Gradually beat in buttermilk, then beat in pumpkin in 4 additions. Using a rubber spatula, fold in dry ingredients in 4 additions, blending gently after each addition. Cover with plastic and chill for 3 hours.

Sprinkle 2 rimmed baking sheets lightly with flour. Press out one-third of dough on a floured surface to 1/2" to 2/3" thickness. Using a 2 1/2" diameter round cutter, cut out dough rounds.

Arrange on sheets. Repeat with remaining dough in 2 more batches. Gather dough scraps. Press out dough and cut out more dough rounds until all dough is used.

Using a 1" diameter round cutter, cut out center of each dough round to make doughnuts and doughnut holes.

Line 2 baking sheets with several layers of paper towels. Pour oil into large deep skillet to a depth of 1 1/2". Attach deep-fry thermometer and heat oil to 365 degrees F to 370 degrees F (Using a clip-on deep-fry thermometer is needed to gauge the oil temperature when frying these doughnuts. If the temperature is too low, they'll absorb oil, turning leaden and soggy. If too high, they'll burn before the insides are cooked through).

Fry doughnut holes in 2 batches until golden brown, turning occasionally, about 2 minutes. Using a slotted spoon, transfer to paper towels to drain. Next, fry doughnuts, 3 or 4 at a time, until golden brown, adjusting heat to maintain temperature, about 1 minute per side.

Using a slotted spoon, transfer doughnuts to paper towels to drain. Cool completely.

For Powdered Sugar Glaze: Whisk powdered sugar and 4 tablespoons whipping cream to blend. Whisk in additional cream, 1 teaspoon at a time, to form medium-thick glaze. Can be made up to 3 hours ahead.

Add doughnut holes to bowl of spiced sugar and toss to coat. Spread doughnuts on 1 side with Powdered Sugar Glaze. Arrange doughnuts, glazed side up, on racks. Let stand until glaze sets, at least 30 minutes.