This sound effect can be found on 20th Century Fox Sound Effects Library, which was made by Sound Ideas. Originally a Warner Bros. sound effect. It is the same track as Freesound, S38-08 TV Batmobile starts and out.wav.
https://soundeffects.fandom.com/wiki/File:Sound_Ideas,_AUTO,_BAT_MOBILE_-_ORIGINAL_BAT_MOBILE_START,_PULL_AWAY.ogg