In a large bowl, whisk 3 large eggs with 1/4 cup of brown sugar, 1/3 cup of granulated sugar, 2 tablespoons of olive oil and 2 teaspoons of pure vanilla extract until smooth
Add 2 cups of finely shredded carrots and mix until evenly distributed
Sift 3/4 cup of all purpose flour, 1 teaspoon of baking powder, 1 1/2 teaspoons of ground cinnamon, 1/2 teaspoon of ground ginger, 1/2 teaspoon of nutmeg, 1/2 teaspoon of salt and 1/4 teaspoon of cloves into the bowl and mix until just combined
Spread the batter evenly over the parchment lined pan and bake for 11-12 minutes or until the cake feels lightly set and springy to the touch
While the cake is baking, dust a large kitchen towel with confectioners sugar and as soon as the cake is fully baked, carefully invert it onto the towel and roll the hot cake tightly starting at the short end
Transfer the cake onto a cooling rack to cool fully before adding the filling