Hello,
Do you have the axiom set as the input on the midi track.. How is your track setup? Is it a simple instrument track or is it setup with the midi track and and audio track(s)? Either way if you see the Axiom under Prefs, Midi and it is checked. Ensure that on the track (if simple instrument) that the input is the Axiom or on the midi track (if separate midi and audio track(s) that it is the Input.
Another quick check to see if you are triggering the device is to Load a soft synth into a simple instrument track, Make the input to the Axiom, go to the task bar (Windows). There you will find a "midi indicator" with two red led's. Hit a key on the controller and see if you have activity. If not check the connection to your controller and/or reboot and try again. IHTH....