You need to make sure the modulation type matches the aircraft you originally bound it with. There are four different modulation types (DSM2 and DSMX, each at 11ms or 22ms). When you bind, the Orange module indicates the modulation type by blinking the LED a certain number of times. I forgot exactly which blink pattern is which modulation type, but in practice it doesn't really matter. All you need to do is write down somewhere what blink pattern was showing after you bound the plane. (One tip I heard: write it on the plane itself near the battery holder as a number of dots)
If you later want to fly that same aircraft again, you need go back to the right blink pattern. Press the button on the OrangeRX module 3 times quickly to change to the next one. You may have to do this multiple times until you get the right one.
Since I've started doing this I haven't had to rebind. Of course, it's still tedious, but not as bad as fiddling with the bind plug in the receiver.