I'm trying to help my mom get everything set-up on her first smartphone (over the phone), a brand-new Moto X 2nd gen, but it seems like the Play Store app is not showing all of her apps or updating them automatically.
Here's a screenshot that I had her send me, showing only three apps listed under the "ALL" tab for "My apps & games," which obviously is wrong (the "INSTALLED" tab lists the same three apps). These three apps are only ones that she has manually downloaded or updated via the Play Store--after she sent me the screenshot, she manually updated the Gmail and Google apps via the Play Store, so it shows those now, too, but still not any of the many other apps that are on the phone. How can we fix this?
We have already tried clearing the cache and data for Google Play Store and the cache from Google Services Framework, but that has not worked. Google Play Store is version 6.0.5 and Google Play services is version 8.4.89.
Here's a screenshot that I had her send me, showing only three apps listed under the "ALL" tab for "My apps & games," which obviously is wrong (the "INSTALLED" tab lists the same three apps). These three apps are only ones that she has manually downloaded or updated via the Play Store--after she sent me the screenshot, she manually updated the Gmail and Google apps via the Play Store, so it shows those now, too, but still not any of the many other apps that are on the phone. How can we fix this?

We have already tried clearing the cache and data for Google Play Store and the cache from Google Services Framework, but that has not worked. Google Play Store is version 6.0.5 and Google Play services is version 8.4.89.