A baby carrot is an immature carrot, grown in a small size, in which it is sold.A baby-cut carrot is a small piece cut from a larger carrot; baby-cut carrots are often marketed as baby carrots, leading to potential confusion.abels that say baby carrots appear on packages of very young carrots that are harvested while the vegetables are still quite tiny. Labels that proclaim baby-cut carrots appear on packages of petite carrots made by chopping down and polishing much larger versions of the vegetable.