When Azure Connect is setup the quickest way to fire off a manual sync is through powershell.
For a full sync (new accounts etc):
Start-ADSyncSyncCycle -PolicyType Initial
For a incremental sync (faster but not as thorough):
Start-ADSyncSyncCycle -PolicyType delta
I normally save these as .ps1 files on the desktop of the server to I can quickly run them.
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