[Q] Shattered screen, backup options? topic

I have a moto X with a shattered screen and broken digitizer that I'm about to send in to Motorola. Is there a way to backup sms and stuff from the phone via usb fastboot or adb? debugging was not enabled when the phone took a tumble, but it turns on and i can get pictures and stuff off the device. Trying to boot back to fastboot or recovery hasnt been working for me since I can only hold the power button until it shuts off and i dont know when to hold the buttons down to get it back on :/

Thanks for any help!