In a food processor, finely chop the carrots and onion. Transfer the veggies to a pan with a little oil (or water) and sauté over medium heat. Add additional water or broth, a few tablespoons at a time as needed, to prevent the vegetables from burning.
NOTE: This loaf makes a delicious alternative to traditional food gifts. To make mini loaves, place the combined mixture in several small loaf pans and reduce baking time. After the loaves have completely cooled, cover with plastic and tie a ribbon around each.