In a suitable container, mix the eggs, flour, oil, vanilla and 1/2 cup sugar. Stir until you obtain a cake batter. Lay out the fine sheets, take 1 of them.
Smear it generously with the mixture and cover with a 2nd sheet. Put pieces of Turkish delight in the narrow end of the sheet and wrap it into a tight roll. Repeat for all of the sheets.
Arrange the rolled up sheets in a round or rectangular tray, greased ahead of time.
Bake the Turkish delight phyllo pastry in a preheated 356°F (180 °C) oven with the fan on until ready.
While it's baking, prepare the sugar syrup. Dissolve the remaining sugar in 2 cups water and bring to a boil on low heat to fully dissolve the sugar. Once the phyllo pastry cools, syrup it with the hot sugar syrup and leave for at least 2-3 hours in the fridge to syrup evenly.
Source: Mary Yordanova from Culinary Network.