If use rsnapshot tool for your backup strategy, maybe you want to receive a mail report. For this need, there is a perl script provided by rsnapshot, in /usr/share/doc/rsnapshot-1.4.2/utils/rsnapreport.pl. Move this file in /usr/local/bin/, and make it executable.
chmod +x /usr/local/bin/rsnapreport.pl
Now in your crontab or in your shell command, you will have something like this:
0 3 * * * root /usr/bin/rsnapshot daily 2>&1 | /usr/local/bin/rsnapreport.pl | mailx -s "Daily Backup $(date '+%d-%m-%Y T%H%M')" email@example.com
Adjust it for your needs.