Speaking to Insider, "Cowboy Bebop's" costume designer explained the minor callbacks with costumes used in the reboot, inspired by the improvisation used in bebop jazz music.
For example, Faye's costume has fastenings that had a "tiny little labyrinth" engraved on it to represent Faye trying to find herself due to her amnesia.
"And then, down the back of her leggings, there's this abstract print. It's the top view of block letters of 'Babes in Arms,' which is the name of the musical that the song My Funny Valentine comes from. And Faye Valentine's episode, when she's cryogenically frozen, [is called] My Funny Valentine," Holland added.
Meanwhile, for Gren (played by Mason Alexander Park], Holland said she had more freedom for the design because the character was being reimagined.
"The ballet was a bit of an influence which came from Mason," she told Insider. "There's the motif of the butterfly on the trophy buckle and jewelry, which is sort of about transformation and freedom."
One of Gren's costumes also has "they/them" written in code put on lapels because Park has a tattoo with those words and Holland says the code references David Bowie's final album which had code written on it.