Copper works with barcode scanners in "HID keyboard emulation" mode. Basically, it acts like a second keyboard. The advantage of this is that you don't have to worry about specific drivers.
If you open Notepad or TextEdit, plug in your USB barcode reader, and scan a barcode, you should see it enter the digits if it is working correctly.
You may be able to configure the barcode reader to work in a specific mode by scanning a setup barcode such as the ones in this document on pages 32-38. For your scanner, you would probably choose "HID Keyboard emulation" on page 36, but you might need to experiment with it.
Symbol LS2208 Quick Reference Guide (P/N 72-65651-01 Rev. C)
http://supportcentral.motorolasolutions.com/support/search.do?cmd=displayKC&docType=kc&externalId=6565101cpdf&sliceId=&dialogID=572734877&stateId=1%200%20572736053
When you're using Copper, just make sure the Item Code field is selected before you scan a barcode.