Hey I just noticed that my post didn't go through from earlier today, odd, maybe my computer.
Anyways, how soft or firm did you steam the carrots? Try playing around with that, ie. my dd will not eat steamed veggies that are too soft- she always protested them even as a baby, she will only eat them firm. Keep trying an assortment of veggies and fruits, and always retry the ones that she turns her nose up to as it takes up to 15 tries for a lo to really determine if they like a food or not. Another good little finger food is cooked pasta or small finger sized pieces of toast, maybe even try a hummus dip or some type of healthy dip, on the toast. My dd even liked picking up cooked pieces of beans like navy beans, as a finger food.