I have a Genie that's about 2 years old and it has worked well up until the last couple months. When using the remote to access the Genie, it frequently does not respond for 20 to 30 seconds. I first noticed it when I used "rewind" and I could not stop it. I have to wait for it to respond then fast forward back to the original location. It also happens when I first pick up the remote and try to do something. When this problem happens, the blue light does not flash on the unit when I press a button on the remote.
The batteries in the remote have been changed. I have used the red rest button on the unit a couple times. Neither helped.
I assume the Genie is a hr34? If so, look at the remotes model number (top left of face) and see if it has an R in the model number. If so, set up the remote for RF operation. I'd guess that something is causing lo grade IR interference.