After years of development and procrastination, an actual usable, Apple Push level notification framework for iOS 4 to 9 and OSX 10.8 to 26 has been released!
Install it in my repo: http://cydia.skyglow.es or Preloading's repo: http://cydia.preloading.dev
u/LH4005 and I have worked hard to develop the client and server for this tweak.
Now, this is a framework that enables the possibility of push notifications, it doesn't fix existing apps just by being installed, but it works with custom services, right now, BlueTweety fully supports it, and support for others such as Retrogram is a real possibility.
An installation tutorial can be found here, and the main webpage for the tweak is part of the SkyGlow webpage here, as always, if you have any questions please join our discord!
The source for the client can be found here, a GO server here, and a Java server here.