If you select "ot_coupon" and enter the coupon code Edit Orders does add the corresponding entries in the database table (storing order totals). So if the report queries this table, it should work.

Edit Orders does not however update the "# of uses" or other non-order specific coupon entries (at this time)... Which report (3rd party? built-in? steps to access) are you referring to (so I can add the info as a request in the project management system for future review).