Facebook woke up by Google Services and don't want to be Greenified Facebook and it messenger apps are eating up my Galaxy Note battery (rooted). When I Greenify them, they are activated by Google Services.

How can I stop their activation without uninstalling?

Many thanks!!
There are quite a few apps which will wake up Facebook in the background. In particular, any apps which offer to allow you to sign in via a Facebook identity. Even though you might not have signed up via Facebook, those apps will often wake up FB anyway. 
  If you want to ensure FB doesn't wake up, then you need to install Xposed framework, enable the Greenify module in Xposed and then tick the option on Greenify for Wake-up Tracker and Cut-off. You can then disable having other apps open FB.


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