As you modify this data in G Suite, each user's Global Address List is dynamically updated in Outlook, too.
(Note, however, that it can take up to 24 hours for updates to became available in Outlook, or for the Global Address List to become available at all after first installing GSSMO).
These screenshots are from Outlook 2013, but the process works identically in 2010 or 2007. Choose "Update All", wait a moment, and you're done. I can manually update each contact with the nice "Update" button and it automatically synchs the contact with AD, but I can't do that for all contact with a simple buttonclick? Switch to your contacts view, then go to the "Send/Receive" tab.
From there, right-click any selected contact and choose "Add to Contacts".
Therefore, there is no need for equivalent instructions for the Mac operating system.
Essentially, the issue is the GAL is not updating in Outlook. I looked at the recipient filter of the GAL, it's below for reference: (Alias -ne $null -and (Object Class -eq 'user' -or Object Class -eq 'contact' –or Object Class -eq 'ms Exch System Mailbox' -or Object Class –eq 'ms Exch Dynamic Distribution List' -or Object Class -eq 'group' -or Object Class –eq 'public Folder')) The next thing I'm going to try is creating a new GAL and making it the default, if necessary. That will force Outlook to download a complete GAL. If so, it is probably that the incremental update files haven't updated correctly.I created an alternative OAB, connected it to the Default GAL, made that OAB the defualt OAB, and tried to download it through Outlook. The first thing I would do is switch to either web only or mixed (web and public folder).Then once set, run get-offlineaddresbook | update-offlineaddressbook Wait 20 minutes or so for it to update, then check in the Application log to see if there are any generation errors.Also the Update button seems to have to do something with "Outlook Social Connector" - see the other screenshot I added?Outlook Social Connector is normal - I have it on my contacts as well.For details, see the instructions on using the Windows registry at Configure limits and options via the registry.