I'm a little confused by your post. This module adds a Reorder button to the user's order history page at user/#/orders. It doesn't do anything to cart/checkout. Your image looks like a normal part of the Ubercart cart/checkout page.
When one of the Reorder buttons at user/#/orders is selected, it will add the items from that previous order into the current cart. At cart and cart/checkout, your cart should now contain the reordered items plus anything else that was already in the cart.