Preheat oven to 350 degrees and grease cookie sheets.
Combine dry ingredients (flour, cornmeal & *brown sugar) in large mixing bowl, then incorporate carrots, bananas, egg, oil, and water until well blended into workable dough.
Flour your workspace and roll out dough to desired thickness. We went with about ½ inch thickness to allow for some expansion once baked. Cut cookies to desired shape and size.
Place dog cookies on baking sheet and bake 35 minutes...
After baking, turn oven off and leave cookies inside for another 30-45 minutes until crisp.
Once crisp, remove dog cookies from oven and let cool. Transfer to zipper bags or airtight containers and freeze to preserve freshness for your little one!