Hi, imagingproducts. 

We can generate a report that shows closed in QuickBooks Desktop.

We can run the Open Purchase Order Detail report because it already has item descriptions. Then, by changing its Received filter to Either, we can see the open and closed Purchase orders. The ones with a 0.00 value under Open Balance means they are closed while others with a value mean they are open. 

Here's how:

1. Go to Reports tab. 

2. Select Puchases, then click Open Purchase Order Detail. 

3. Go to Customized Report, then select Filters tab. 

4. Type Received to Search Filters then click OK. 

You can apply additional filters if you wish to get your desired details. For more info, please check out this article: Customize reports in QBDT. Then, you can memorize it to keep a copy for quick future access.

You can always get back here in the Community if you have more questions about managing your PO's in QBDT. I'd be glad to help you some more. Take care and enjoy your day.