The time will show as the actual time on the hosted server.  If you are hosted in Boston it will show the Eastern time zone and Orange County shows the Pacific time zone.  
If a donor sends a transaction through at 11:30PM Central Time, this will appear in the Plugin as 12:30AM, therefore displaying as the following day.  


Currently, there is no change we can make to update the time to reflect the client's time zone versus the server's time zone.