Thanks. Your global synchronization flag is disabled, so this is not related to DAVdroid:
System-wide synchronization: manually
I don’t know how to enable it on
Android version: 6.0 (MPB24.65-34)
Device: Motorola XT1068 (titan_umtsds)
but in CM 13 (Android 6) it’s at Android Settings / Accounts / More (⋮) / Auto-sync data.
By the way, I see that you have installed the DAVdroid JB Workaround, while running Android 6. Please remove the JB Workaround, it’s only useful on Android 4 and doesn’t serve any purpose on newer Android versions (but it can cause problems, because it’s a hack).