01 - In a large mixing bowl, dissolve yeast and 1 tablespoon of the granulated sugar in warm water. Let stand for 5 minutes until mixture becomes foamy.
02 - Add remaining sugar, melted butter, milk, egg, and vanilla extract to the yeast mixture. Mix until fully incorporated.
03 - Gradually add flour and salt, mixing continuously until a soft, sticky dough forms.
04 - Turn dough onto a lightly floured surface and knead for 5 to 7 minutes until smooth and elastic.
05 - Place dough in a greased bowl, cover with plastic wrap or towel, and let rise in a warm spot until doubled in size, approximately 1 hour.
06 - Punch down risen dough and roll out on a floured surface to 1/4-inch thickness. Cut into 2 by 2-inch squares or diamonds using a sharp knife or pizza cutter.
07 - Heat vegetable oil in a deep fryer or large, heavy-bottomed pot to 350°F.
08 - Fry dough pieces in batches, avoiding overcrowding. Cook for 1 to 2 minutes per side, turning once with a slotted spoon, until puffed and golden brown on both sides.
09 - Remove fried pieces with a slotted spoon and drain on paper towels.
10 - While still warm, generously dust all sides of the fried dough with powdered sugar.
11 - Serve immediately for optimal texture and flavor.