In a large bowl, mix the flour, brown sugar, cinnamon, backing soda, apple cider vinegar and salt. In a medium bowl, mix together eggs with olive oil. Grate carrots and add them to the mixture. Chop pecans and add them as well.

Preheat the oven to 150 °C or 300 °F. Pour the olive oil-carrot mixture into the flour mixture and stir well. Transfer to the backing dish. I used this 16 cm or 6 1/4 inch cake form but you can only fit half of the batter in it, which makes two layers. One more option would be to divide all the ingredients, including frosting in half, in case you want a really small cake. The last option to use a larger form and make it a two-layer cake (in this case, you might want to use less frosting, too).

Bake for 1 hour in a small form or for 1 hour 20 minutes in a large form. Poke it with a toothpick and if it comes out dry, it's ready. Let cool and cut in half lengthwise, using a ruler if needed. If the surface is not flat, cut the excess off.

Meanwhile, prepare the cream cheese frosting: combine the cream cheese, softened butter, honey and vanilla extract with a hand mixer or food processor.

Place the first cake layer on cake stand. Spread with 1/4 frosting using a spatula (or with 1/2 if you opt for two layers). Optional: use a pastry bag to spread the frosting around the rim. Top with the next cake layer. Repeat until you are out of layers.

Decorate with little sugar or marzipan carrots or pecans. Enjoy!