Hi,
Since Google Sync has been terminated from 30 January 2013 ( http://support.google.com/a/bin/answer.py?hl=en&answer=2716936), Calendar & People apps can't sync with Google server from that time until now. However, Email app works well.
Calendar: https://bugs.launchpad.net/linaro-android/+bug/1057208 People: https://bugs.launchpad.net/linaro-android/+bug/1029373
As a walk around, we can install GApps manually then set up account to sync with Google server:
http://wiki.cyanogenmod.org/w/Gapps
But the concern here is we currently don't have GApps pre-installed in our images. If an end user downloaded our release then he / she will find the malfunction on Calendar & People apps. The solution is either we pre-install GApps, or we write something like this in our release notes:
"To enable remote sync with Google server, please install GApps from here: http://wiki.cyanogenmod.org/w/Gapps"
I will close above 2 bugs if we will do like this.
Thanks.
Best Regards Botao Sun