Lightly grease a 12 loaf mini loaf tin and preheat an oven to 350 deg F.
Bake the pecan halves on a baking sheet for 10 minutes. Allow to cool then pulse in a food processor until finely chopped, not ground.
In a large mixing bowl, combine the pecan, flour, baking powder, cinnamon, ginger, baking soda and salt.
In a smaller bowl, whisk together the brown sugar, greek yogurt, oil, vanilla extract, lemon zest and eggs.
Stir the shredded carrot into the egg mixture, then fold into the flour mixture. Divide equally in the prepared pan.
Bake for about 20 minutes. The mini loaves should bounce back when pressed and a toothpick should pull out clean.
Allow the loaves to cool in the pan for about 10 minutes before moving to a cooling rack to cool completely