In Admin > Registration Items...
the my items list on the left are all of your items and in the order they will display on site.
The checkboxes let you show any item on either the register page, sponsorship page, or both.
Or uncheck both and it won't show at all - enabling you to 'hide' the item rather than deleting it if you want.
This single golfer item below would show at the top of both the Register and Sponsorship page. Uncheck the show on sponsorships page box and it will only show on the register page.