Lineage OS the new CyanogenMod! Yep CyanogenMod has been shut down now and all the Official developments has been stopped for CyanogenMod but the good news is that they have announced Lineage OS and further development from here will happen on the CyanogenMod code but in the name of Lineage OS.
The Official Lineage OS ROM hasn’t been developed yet but they have been updating the source code in their GitHub Repository. The good news is that developers have been working around the clock to bring Lineage OS early to the Devices and Huawei Nexus 6P (angler) has got its unofficial Lineage OS ROM. All thanks to the developers razorloves and kronflux.
Disclaimer:-This is an early build and may not be stable heck! it may not even boot. Have a complete backup before Flashing this. Try this at your own risk you could even brick your phone
Note:- All the required Links are at the end of this post.
Install Lineage OS on Moto G4 2016 (Athene)
1) You Need to have a Unlocked bootloader and have a custom recovery like TWRP flashed. If you haven’t already done then there is an article on how to flash TWRP and root Moto G4 2016 (Athene) read it here
2) Take a Complete Backup of your Device. This is the most important step as if you screw up something you’ll have a complete backup so you can restore to the previous state. Here is a video on How to Backup your android.
3) Download Lineage OS for Moto G4 Plus (Athene) From Here. All thanks to the developer T_I.
4) Download Gapps for google apps from here.
5) Copy the downloaded files to the internal storage of your Moto G4 2016 (Athene).
6) Shut down your Android device and then hold Volume Down and Power button simultaneously to boot into recovery.
8) Go back to the home page of the TWRP then tap on –>”Install”, then navigate to the folder where you have copied the Lineage OS rom and the Gapps file which you downloaded before.
9) Select the –>”Lineage OS rom zip file” and then click on –>”Add More Zip Files”, then select the –>”Open Gapps Zip File”, then swipe to confirm the flash and wait until it gets completed. Have patience as it may take 5-20 minutes for installation. 
11) Now select your Language and configure your device like you would do when you have brought an new Android.
12) While configuring your google account if you are redirected back to the first stage of configuration then disconnect from the wifi and turn of your Mobile data and skip google account configuration for now and you will be good to go!
Links:-
Unlock bootloader and flash TWRP :- http://bit.ly/2hO9eiZ
TWRP for Moto G4 (Athene) :- https://dl.twrp.me/athene/
Lineage OS for Moto G4 Plus (Athene) Build By :- http://bit.ly/2iv0QWi
Gapps for Moto G4 (Athene) :- http://opengapps.org/
Devolper’s Android File Host Profile:- http://bit.ly/2i68IdU
Source code for Lineage OS for Moto G4 (Athene) :- http://bit.ly/2izplj9
I didn’t Install this as I don’t have an Moto G4 (Athene) device and the Images may be different for you but the procedure will be 99% same below is the video where i install lineage OS on OnePlus 2 its just for reference. if you have any problem watch the video.
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After installation of both zip file.My phone moto g4 plus is not turn on
are you still able to boot into recovery you might have missed something or used a different gapps package.
Anyway if you’re still able to boot into recovery then use this link (https://hacksandgeeks.com/single-post/2017/01/23/Official-Lineage-OS-141-for-Moto-G4-G4-Plus-Athene) as it has a updated links for official lineage OS downloads
If you cant boot into recovery there’s a exelent guide on Xda on how to unbrick your phone follow the steps and you should be fine (https://forum.xda-developers.com/moto-g4-plus/help/solved-unbrick-hard-bricked-dead-t3585016)