1. In a large bowl, beat the eggs with the sugar and salt until they become fluffy. Add the milk (or heavy cream) and the vodka, and mix them in. Gradually add the flour, stirring constantly, until a soft, elastic dough forms that doesn't stick to your hands.
2. Knead the dough for 2-3 minutes and let it rest for 20-30 minutes. Divide the dough into 2-3 pieces for easier handling.
3. Roll out each piece into a thin sheet (about 2-3 millimeters thick) using a rolling pin or a pasta machine. Cut the dough into strips about 10-15 centimeters long and about 3-4 centimeters wide. Make a slit in the middle of the dough strip and pass one end through the slit, twisting it to form the traditional shape.
4. Heat the sunflower oil and fry the Khvorost until they are nicely golden brown on both sides. Transfer the fried Khvorost to a platter lined with kitchen paper to absorb any excess oil.
5. Let the Khvorost cool down slightly. Dust them generously with powdered sugar and serve. Traditionally, you can also sprinkle a little cinnamon on top.