Currently system allow user to select any specific search criteria link and hence 'Purchases by Product' report is generated only based on any one given selected criteria.
We can add the feature for generating single report based on multiple values (possibly via checkbox?) within basic search criteria in this report namely:
1) Product Store
2) Origin Facility
3) Let's remove Order type and make it only work for Purchase Order type as for Sales we already have similar report called "Sales by Store"