Is there a way to know if my garage door is open remotely?
If you're into DIY;
you could easily create a setup with arduino, you can check if the door is open with infrared distance sensor or a magnetic switch.
Or you could just create a circuit that is closed when the door is closed and feed that information into an arduino?  

http://www.robotshop.com/blog/en/arduino-5-minute-tutorials-lesson-4-ir-distance-sensor-push-button-2-3637
https://electronics.stackexchange.com/questions/13769/how-can-i-detect-if-a-garage-door-is-opened-or-closed#13771