How do I get the volume of a recording to be similar to the output

I have not resolved the issue of being unable to get the volume to be equal to each other from Audition to Animate

Audition doesn't in itself regulate what you hear, but there are things that can happen that might make it seem like it is. Can you provide us with a lot more detail of what you're doing (like screen-grabbed waveforms, for instance)? There is one other thing I'd like to know - if you import a file that otherwise plays okay, does that sound quiet when you play it in Audition too?

Also, if you normalize whatever file you are using to 0dB, does it still sound quiet? If it does, then the fault you have is definitely outside Audition. In this case, you need to look carefully at your sound device settings. If it's Windows you are using and an internal device, then you will need to look at the settings for this. But as I said, we really need a lot more detail.