In a large bowl, stir together flour, sugar, baking powder, cinnamon, salt, and baking soda. Stir in carrots, eggs, and butter until just combined. Fold in the pecans.
Spread the batter evenly in a greased 15x10 rimmed baking sheet.
Bake 25 minutes or until a toothpick inserted near the center comes out clean. Cool in the pan.
To make the frosting, place the cream cheese and vanilla paste in the bowl of a stand mixer and beat until smooth and creamy. With the mixer on low, gradually add the powdered sugar until the frosting reaches the consistency you prefer.
Spread frosting on the cooled bars. Cut into bars and serve at room temp or chilled.
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Notes
Grating your own carrots will result in smaller, finer shreds. Using a bag of pre-shredded carrots works as well, but adds more texture to the cake.Store tightly covered in the refrigerator. Serve straight from the fridge or allow to come to room temperature before serving.