Report: Manage By Client/Vendor

You can run a Database Report for a specific client from Top Menu- 

Setup >> Shipments >> Products >> Manage by Client/Vendor

This report will let you find products by related client and vendor

This will provide you with a listing. Once the client and/or vendor are entered and Find By is selected, you can click on the Find button to get a list.  You can also export it with the Export button. Below is the screenshot for reference.