According to WrestleVotes, there was a storyline for The New Day that was ultimately not done that would have involved both Big E and Kofi Kingston being drafted to Raw and SmackDown respectively, but still being managed by Xavier Woods and representing New Day in their attire and music.
Interesting idea that was discussed but turned down: Kofi Kingston would return to RAW, while Big E stays on SmackDown. Both remain part of New Day, including gear & music. Just on separate brands. Another twist: Xavier Woods would serve as a manager type appearing on both shows.— WrestleVotes (@WrestleVotes) September 17, 2020