In a small bowl, dissolve the granulated sugar in the warm milk. Sprinkle the dry yeast over the top and let it sit for about 5-10 minutes, or until frothy.
In a large mixing bowl, combine the flour and salt.
Make a well in the center of the flour mixture. Add the frothy yeast mixture, eggs, vegetable oil, and melted butter.
Mix the ingredients together until a dough forms.
Turn the dough out onto a lightly floured surface and knead for about 5-7 minutes, or until smooth and elastic.
Place the dough in a lightly oiled bowl, cover with a clean cloth, and let it rise in a warm place for about 1 hour, or until doubled in size.
Punch down the risen dough and turn it out onto a floured surface. Roll it out to about 1/2-inch (1.3 cm) thickness.
Cut the dough into small squares or rectangles (about 2-inch/5 cm pieces).
Heat vegetable oil in a deep pan or fryer to 350째F (175째C).
Fry the dough pieces in batches, turning them occasionally, until they are golden brown and puffed up, about 2-3 minutes per side.
Remove the baursaks with a slotted spoon and drain on paper towels.
Dust with powdered sugar if desired.
Enjoy your meal!