You do not need any fancy styling products to make a short hairstyle. The anti-frizzing products that you would use on your hairstyles of other lengths can also be used on short hairstyle.
Some products will lock the hair in place, and create a smooth hairstyle. This can help to produce some impressive hairstyles. For straightening or curling your short hair, there are styling tools available that are compact enough to use on short hairstyle.