Preheat the oven to 350℉. Spray an 8x8 inch pan with non-stick spray and line the inside with parchment paper. Set aside.
In a bowl, whisk together the all purpose flour, baking soda, baking powder, cinnamon and salt until evenly combined.
In a separate bowl, combine the eggs, brown sugar, granulated sugar, tahini, and vanilla extract. Then mix in the whole milk and vegetable oil. Fold in the shredded carrots until evenly mixed into the batter.
Pour the bowl of dry ingredients into the bowl of wet ingredients. Gently mix until well combined. Spread the batter out into the prepared pan. Bake it in the oven for 33-35 minutes until a toothpick inserted comes out clean. Let it cool in the pan for 10 minutes then transfer it to a wire rack to cool completely.