Scenes featuring the TK Stormtroopers are accompanied by the Imperial motive used by John Williams in the score for the original Star Wars: Episode IV - A New Hope (1977), which was replaced by the more famous Imperial March in Star Wars: Episode V - The Empire Strikes Back (1980). It was also briefly heard in Rogue One: A Star Wars Story (2016) and Solo: A Star Wars Story (2018).
The new Imperial TK Stormtroopers have new armor inspired by early concept art created by Ralph McQuarrie.
The TK Troopers are being trained by Clone Commandos. In the (Legends continuity) Republic Commando novels by Karen Traviss, part of the Commando's back story was that they had been trained from birth on Kamino by Mandalorians hand-picked by Jango Fett.
CC-5576 (Gregor) appeared for the first time in Missing in Action (2013). Presumed dead at the time, the character came back at Rex's side in The Lost Commanders (2015). His strange behavior is a consequence of the explosion that nearly kills him during the Clone wars.
One of the Clone Commando's seen at the base was designed to resemble RC-1262, aka "Scorch" from Star Wars: Republic Commando (2005).