Maybe this is just a typo in the email, but there should be no space on the
first line of your script. i.e., shoud be "#!/bin/bash", unless I am
loosing my mind (I wouldn't put that past me) :)

I don't know too much about cron, but you may want to add something like "
--log-file=/some/directory/rsync.log" to your rsync command to see if any
errors are getting thrown. But that may not help if the issue is that cron
is not able to find rsync. like if it only looks in /usr/bin and rsync is in
/usr/local/bin. But I don't know.