The Audacity trace allows you to deduce the signal timing, and to reproduce it.
From the Audacity trace, you can certainly determine whether the remote uses the basic RC-Switch protocol, or not. Keep in mind that there are many RC-Switch protocol variants. They differ in the bit and sync pulse timing.
Once you have determined the timing, you can add that protocol to the RC-Switch library code.
If it is not RC-Switch, you have to write your own encoder.