i’m not sure of your setup, but i’m assuming you’re running the outputs of your soundcard into your mixer?
if you want to use the table for cuts or anything that requires the mixer, what you need to do is hook the turntable to the input of the mixer, and the output (master out) to the input of your soundcard. then in ableton you just need to select the input you’re running the mixer into.
if you just want the table by itself, and if your soundcard has preamps (i know the audio 4/8 does, maybe audio 2?), you can run the table straight into your soundcard.