Can you access SharePoint Offline and then Auto Sync when Connected?

I am looking for a way for our users to be able to access SharePoint offline e.g. to view or make changes to documents, complete custom lists etc. and then auto sync when they have connection again.

I can't see a way to do this without using SharePoint Workspace, which I understand has been discontinued? Any ideas? Also, eventually I would like for users to have the ability to do this on mobile phones, so is offline connectivity to SharePoint also possible on mobile technology?

I am using SharePoint Standard 2013.

Thanks.