Yes …
First make sure that you are sending allways the same key and hopping, make sure that count is at 0000 and key doesn’t change when you press multiple times. If it opens the gate/door then the “problem” is NOT with the remote but with the reciever … in other words the system is using the fixed key only and works like a fixed code system, and doesn’t use the hopping/count… It’s just not using the capability of dynamic/rolling codes instead works as a normal simple / single code system.
I have one question, are you able to capture/READ your original remote with the correct frequency 434 and FM476 without preset / cuctum config with correct deviation ?