aCalendar is not involved in synchronization, it's just a user interface to the Android calendar storage.
Synchronization is always provided by your cloud service and between the cloud server and Android.
If you have no synchronization between 2 Android devices (e.g. phone and tablet), you should first identify which device is the problem.
Test each device individually to the cloud (web interface of your cloud service, e.g. Google Calendar in a web browser).
Then check Android settings - accounts - your cloud account. (also linked from the menu in the calendar list, the calendar list also already shows basic sync info).
Check you global sync settings, account sync settings, (background) data settings and energy saving options.
Also see the service-specific help pages here and the help/support from your cloud provider.