It could be a mobile app with sliders to adjust the mane sounds.

Rumble volume

Fan pitch

Fan volume

Shriek pitch

Shriek volume

Or it could be a simple throttle with automatic adjustment of the sounds.  Lions had a tough time designing sounds for a game.  There are many variations going on in the recordings besides just throttle.

There's a useful video series about the TF-39 sound.

https://www.youtube.com/watch?v=4IQ75FnVUWg

Another idea is a TF-39 musical instrument sound.  Maybe it could be a vocal.