Averdahl • Adobe Community Professional, Jan 18, 2021
In Audition, go to Edit > Preferences > Multitrack and change the Default Panning Mode to Left/Right Cut (Logarithmic).
After you have made this change the audio volume should be the same in future exports from Audition.
I'm not sure why this is happening but a solution which might work for you is to highlight all of the clips in Premiere's timeline and right click on one of them then go to audio gain and choose the last option "Normalize all peaks" and choose where you would like your audio to peak. I recommend -8.