Backupify can backup Google Chats only if you have not enabled Hangouts on your domain. Once you enable Hangouts then we no longer have the ability to access chats via IMAP.
As long as you still have not switched to the new hangouts, Google chats will be viewable via IMAP. IMAP is not enabled by default. It can be enabled in the settings screen shown below:
To contact Backupify support, please click here to submit a Support Request, or give us a call at 1-800-518-7449.