Due to Push’s auto arming, in can be tricky to record into a MIDI track and an Audio track at the same time (for instance, when you want to play a drum or instrument part on Push, but also record in a different audio track, like your friend’s guitar, to resample some audio, record a synth or whatever).
Here’s a workaround:
1) In Live’s “Record/Warp/Launch” preferences, make sure ‘Select on Launch’ is off.
2) Select the MIDI track you want to use with Push to play your drums or instrument.
3) In Live, hold the command key and arm the audio track you want to record into. The track will not be selected if you only click on the arm icon.
With your mouse, you can trigger a clip to record in either or both the MIDI and Audio track.