G'day and welcome to the forums,
Unfortunately, it's not necessarily Comodo Backup that's causing the issue. Microsoft have reported that backup software is particularly prone to rendered unresponsive by Standby or Hibernate modes.
http://support.microsoft.com/kb/907477Some applications do not respond well if you put the computer in hibernation or on standby when these applications are running. Applications such as CD and DVD burning software and system backup utilities may run incorrectly if hibernation or standby is forced. CD and DVD media may become unusable. Backup data may become corrupted. Always wait until these applications have completed their data gathering and recording tasks before you put the computer in hibernation or on standby.
Hope this helps,
Ewen :-)