[Plugin: Custom Taxonomy Columns] Order of Columns

You should be able to tweak the plugin code rather easily. The plugin is very small and very simple (one file, two functions), and heavily commented.

The first function controls the table headers (column titles) and the second controls the actual term data for each row. Near the end of both functions is a couple lines of code that grab the offset (index) of the author column and then rebuilds the array order to ensure terms come before author. Some small tweaks to that bit should be all you need.