Preheat the oven to 180°C.
Mix the dry ingredients in a bowl.
Grate the carrots.
Peel the orange, then remove the white membranes and pips. Put the flesh into a small food processor and whiz until you get a purée. Add this to the flour mixture together with the grated carrots, oil, egg & vanilla, then combine.
Spoon the mixture into silicon mini bundt moulds. Put these on a baking tray.
Bake in the middle of the oven for 20-25 minutes until golden and an inserted skewer comes out clean.
Push the cakes out of the mould onto a wire-rack and let them cool, then decorate them according to your liking and/or occasion.