You can actually use GB's ducking to achieve an effect like this, you'll have to edit it in the track info under the Master Track to make the attack and decay faster. The problem is, you have no control over when the effect appears. So if you want it to be exactly on the offbeat like in your example, I suggest a different route: draw a zig-zag volume curve under the synth track. Sounds tedious, but as soon as you have drawn a couple of dots, you can drag-copy them to mulitply them. Here's an example that I did in 10 minutes:
To get an even better effect, you might do the same automation on some sound parameters like the VisualEQ.
Thank you so much for understanding my question as I wasn't sure I'd worded it correctly.
Using the volume to achive the desired effect sounds so simple, I don't know why I didn't think of it before. Your example sounds great also and is exactly what I'm looking for so thank you for taking the trouble to do that.