Disclaimer: All the regular good stuff. Do this at your own risk, if you blow up your phone, the world ends or what not, your fault not mine.. 
Although this may be less then ideal for some, it IS a workaround for the newer versions of Skype (currently 5.0.0.51733 at time of writing) not properly pushing notifications. Haven't found anything that works or this posted so.... Should work on any rooted MotoG (stock or custom ROM) but I've only tried it on the XT1031 w/ CM11 Official 9-15 Nightly.
Requirements:
Rooted Phone
Skype 4.0.0.22082 - Skype 4.0.0.22082 free apk download for android Newer versions may work but I haven't tried them yet. Other versions are available here - Skype old versions - Android
Xposed Framework
Xposed Installer | Xposed Module Repository
SkypeX Xposed Module - SkypeX | Xposed Module Repository (or search modules within Xposed Framework)
Directions:
Install Skype
Install Xposed Framwork
Install SkypeX Module
Enable SkypeX Module
Open SkypeX Module and change 'Spoofed Version' to 4.7.0.43514
Reboot
Skype will now allow you to login with old version (instead of network error) that actually gives you notifications. The SkypeX Module also allows for dual skype installation but haven't tested any of that yet. I will be testing other versions of Skype soon, but not sure when.. Feel free to try others out and leave feedback
