Preheat the oven to 320°F /160°C.
In a large bowl, mix Fage and sugar. Let it sit for five minutes until the sugar dissolves.
Add eggs, vanilla pudding, vanilla extract, and lemon zest, and mix with a spatula or a wooden spoon until combined.
Pour the batter over the crust and place it in the preheated oven.
Bake for 60-70 minutes, or until the cake is slightly golden on the edges and the center is slightly wobbly (don't worry, it will set once the cake is cooled).