[T-Mobile Samsung Galaxy Note 3] soundwave4:
Again, many thanks and gratitude to [MENTION=4819587]kevp75[/MENTION] for a great ROM and fantastically keeping it up to date. A donation is on its way.

Took a few days to finalize, so here's how I got my Stock, rooted Note3 on 4.3 up to (the current Marshmallow 6.0.1) date.

(* Your Mileage may vary. This worked for my phone, it *may not* work for yours. I am not responsible for any negative issues that may occur on your phone. I just want to share what worked for me for this specific upgrade path *)

From Note 3 (SM-N900T *ONLY*) 4.3 Rooted Stock With stock recovery:

*** FILE PREPARATION PHASE ***

>>Download the following files and place them where stated.

>Place following files on your PC:

TWRP 2.8.7.0 Bootloader 4.3

[https://dl.twrp.me/hltetmo/twrp-2.8.7.0-hltetmo-4.3.img.tar.html

TWRP 2.8.7.0 Bootloader 4.4

[https://dl.twrp.me/hltetmo/twrp-2.8.7.0-hltetmo-4.4.img.tar.html

ODIN 3.11.1 (or latest version)

[http://odindownload.com/

Stock 5.0 Lollipop Rom in ODIN flashable format (**unzip .zip file for .tar.md5 file to be used by ODIN**)

[https://www.androidfilehost.com/?fid=24421527759884946

Stock 4.3 ROM (just in case you need to go back to your 4.3 original TWRP backup)

[https://www.androidfilehost.com/?fid=23329332407570438

({the following 4.3 restore process is **ABSOLUTE SPECULATION** as I have **NOT* done this: follow at your own risk } in case of catastrophic botch, to restore your original 4.3 TWRP backup, I think you: DOWNLOAD Mode > ODIN > 4.3 Stock Rom > Reboot > Power Off > DOWNLOAD Mode > ODIN > Flash TWRP 2.8.7.0 Bootloader 4.3 > Reboot > Power Off > RECOVERY Mode > Format > Restore original 4.3 backup > Reboot > Wait 20 mins for your restore to settle.)

>Place following files on your Note 3 External SD Card:

Dominion S7 Edge V4 ROM (2016.07.06) in post #1 of this thread (if the ROM has updated past V4, you *may* need more steps than shown below)

[http://xdaforums.com/note-3-tmobile/development/rom-dominion-n5-v5-5-1-1-n900t-t3265931

Stock 4.3 ROM (just in case you need to go back to your 4.3 original TWRP backup)

[https://www.androidfilehost.com/?fid=23329332407570438

*** INITIAL BACKUP PHASE ***

Copy the contents of your Internal Phone storage to a backup source (*PC, external Hard Drive, etc)

(Yes, this *will* take "forever". DO IT ANYWAY. In case the upcoming TWRP backups fail or are inaccessible, you have the actual files copied and backed up somewhere and easily accessible.)

*** INSTALLATIONS PHASE ***

DOWNLOAD Mode > Odin > Flash TWRP 2.8.7.0 for KitKat 4.3 (In case I need to come back to my original 4.3)

Reboot > Power Off

RECOVERY Mode > TWRP Backup to External SD Card

Reboot > Power Off

DOWNLOAD Mode > Odin > Flash TWRP 2.8.7.0 for KitKat 4.4

Reboot > Power Off

DOWNLOAD Mode > ODIN > Install Stock Lollipop (with FOL1) ***find .tar or .md5 file!!!***

Reboot > Android Lollipop Upgrading process > Let sit for 15 mins > Power Off

DOWNLOAD Mode > Odin > Flash TWRP 2.8.7.0 for KitKat 4.4 (because Lollipop replaced Recovery)

Reboot > Power Off

RECOVERY Mode > TWRP Backup to External SD Card (because I'm paranoid!)

[Follow instructions in Post #1 of this thread]

YOU NEED TO AT LEAST BE ON A 4.4 BOOTLOADER

BACKUP YOUR APPS

MAKE A NANDROID AS WELL

BACKUP YOUR INTERNAL SD

Boot to recovery

Format Data (not just Wipe)

Format System

Format Cache

Install Rom

Reboot

Wait 15 minutes

Install relevant updates

Reboot

Setup, and make sure to select 'No Thanks' to Samsung

Add your Provider APN

PROFIT!

*** CELEBRATION PHASE ***

Enjoy Marshmallow 6.0.1 on your 2013 Note 3!