This is the sum of two sinusoidal signals, which can be generated independently by the generator.
If the generator can save a datapoint file of a generated wave on an external USB stick, you could do the following, assuming the file format is some kind of textual format:
- Generate the first signal, save the file with its samples.
- Generate the second signal, save the file with its samples.
- Write a program in any language you know that adds the samples together and writes a 3rd file with the sum of those two signals (be careful to respect the data format of the file).
- Load the file you created from the USB stick as a new waveform.
Steps 1 and 2 can be done directly by your program, as JRE suggested in his answer. However it is essential that you understand the format of the waveform signal, so probably you should save a test file in advance to "reverse engineer" the format (unless the manual already explains the format).
BTW, I used this trick some time ago with a BK-precision 4055B arbitrary waveform generator, and it worked perfectly. The waveform files were a simple two-column text file (CSV format) with the first column being the time instants and the second the corresponding value of the signal.
I first saved a datapoint file of a simple signal in CSV format just to understand it. Then I wrote a Lua program that generated the samples (16384 samples) of a complex waveform and wrote them to a CSV file with that format. Finally it was just a matter of loading that file from the USB stick using the normal AWG UI.