Which display order do mean?
There's the display order on the Specification attributes themselves: http://admin-demo.nopcommerce.com/Admin/SpecificationAttribute/List
The display order on the Specification attribute options (in the Options tab): http://admin-demo.nopcommerce.com/Admin/SpecificationAttribute/Edit/1
These first 2 just affect the order that the attributes and options appear in when displayed in the dropdown list in the admin area or as filters in the public store.
The display order that affects how they appear on the product page is the one under the Specification attributes tab on the edit product page: http://admin-demo.nopcommerce.com/Admin/Product/Edit/4