In a big bowl, mix eggs with sugar and beat them together.
Mix vegetable oil, vanilla extract, and grated carrot together until well combined. Put the dry ingredients in a big bowl and stir them together. Mix until there are no lumps. Pour the mixture into the baking dish and spread it out evenly. Bake the cake for 12 minutes. After that, take it out of the pan by using the edges.
Put the cake on a big wooden cutting board and carefully roll it from end to end.
Gently move the cake to a cooling rack and allow it to cool down completely.
to prepare the filling,
Mix powdered sugar, cream cheese, butter, and vanilla extract in a bowl until smooth and creamy.
Gently unwrap the cake and put the filling on top, making sure to leave a small space along the edges.
Cover the cake with plastic wrap and put it in the refrigerator for one hour before serving.
When you are ready to serve, mix the glaze ingredients in a bowl and whisk until they are smooth. Put on top of the cake and bake until it reduces.
