Customize backoffice advance search fields for another item type

Hello Experts,

I have a requirement in the advanced search criteria of the backoffice for the Order item type. On click of the advanced search icon, the widget displays the search attributes relevant to Order item type. I would like to display the attribute from the BaseSite item type which is available in the Order as the search criteria.

Can you please provide me some direction on how to achieve this ?

Thanks and Regards, Ravi