You can search for files in productions created in GoldFynch by entering their Bates numbers into the Search bar available at the top of all screens of the application. 

Just type any portion of a Bates number into the search bar and wait for a couple of seconds. If there are any files that have matching Bates numbers, they will appear as search suggestions (similar to the production log) alongside the production they are in, and the corresponding file name in your case. 

For example, in the screenshot below, you can see the Bates highlighted as TC0025:
Search by Bates numbers directly from the Search Bar