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Preheat the oven to 350°F (175°C) and grease a bundt pan.
In a large bowl, whisk the eggs and sugar until smooth and slightly lighter in color.
Add the oil, milk, and vanilla. Whisk until fully combined.
In a separate bowl, mix the flour, baking powder, cinnamon, and salt if using.
Add the dry ingredients to the wet mixture and stir gently until just combined. Do not overmix.
Fold in the shredded carrots and chopped walnuts.
Pour the batter into the prepared pan and smooth the top.
Bake for 40–45 minutes, until a toothpick inserted in the center comes out with a few moist crumbs.
Let the cake cool in the pan for 15–20 minutes, then remove from the pan and allow it to cool completely on a rack before slicing. Bon appétit.