Problem with device synchronization

[websterl3o]

I'm going through a problem that I have not seen people commenting too much, the synchronization of GoogleContact contacts with the mobile, I'm trying the problem with at least 5 devices that I've tested and found no solution, does anyone know in any way?
I'm able to insert contacts perfectly through php-google-contacts-v3-api but they are not going to the devices.
I have already tried to force an update of the devices and even back up the factory settings thought it might be something in the settings.
When I returned the factory settings, the first update he pulled came all contacts, but after that he did not pull anything.
Is someone having the same problem or does it help me in how to solve the problem?