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Preheat your oven to 180°C (356°F) and line a 20 cm (8-inch) baking pan with parchment paper.
In a large bowl, beat the eggs with the sugar until light and fluffy.
Add the vegetable oil, yogurt, and lemon zest, and continue mixing until smooth.
Sift together the flour and baking powder, then gradually add them to the wet ingredients, mixing until combined.
Pour half of the cake batter into the prepared pan.
In another bowl, mix the cream cheese with powdered sugar, cornstarch, and vanilla essence until smooth.
Spoon the cream cheese mixture over the batter in the pan, and then add the remaining cake batter on top.
Use a knife to gently swirl the cream cheese mixture into the cake batter in a spiral shape.
Bake for 40-45 minutes or until a toothpick inserted into the center comes out clean.
Let the cake cool, then dust with a teaspoon of powdered sugar before serving.
Serving and storage tips:
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