Hi @knowledgedrop, I think the simplest solution, because you are only using two mics, would be for you to use your Behringer mixer to pan Mic 1 to the left channel and Mic 2 to the right channel.
Then the stereo output you record in Audacity will have both voices on the stereo track separated onto the left and right channel.
Then you can use Audacity to split the left and right channels from the stereo track to their own mono tracks. Which you can feed into your app.
Mono tracks, once separated, will play on both left and right speakers.
Good luck.