Peel and grate the apples. Place them in a clean kitchen towel and squeeze out excess moisture.
In a large bowl, whisk together the eggs, sugar and vanilla extract until well combined. Add the yogurt and mix until smooth.
In a separate bowl, combine the flour, baking powder, and salt. Gradually fold the dry ingredients into the wet mixture, stirring gently until just combined.
Fold in the grated apples, distributing them evenly throughout the batter.
Heat about 2-3 cm of oil in a deep skillet over medium heat. The oil is ready when a small drop of batter sizzles immediately (around 170-180°C/340-350°F).
Using a spoon, carefully drop portions of batter into the hot oil, flattening them slightly. Fry in batches to avoid overcrowding.
Fry for 2-3 minutes on each side until golden brown and cooked through.
Remove with a slotted spoon and place on paper towels to drain.
Serve warm, dusted with powdered sugar.
