You need two leads from your dr rhythm audio outs (left & right), plugged into you interface 1&2 or 3&4 5&6 whatever.
Then go into your logic envriroment (can be scary). Create an audio input object and assign it to the input pair that you used to connect from dr rhythm to the interface. ie if you plugged into 3&4, assign the audio input object to receive on 3&4.
Now you should hear the sound through logic and be able to bounce this audio (but in realtime).
Now you will have latency issues to consider but you will insist on making it difficult for yourself. Lol.
Hopefuly Pancenter will be along to explain things better than me.