Ok... it looks like motor reversing isn't done the way you are wanting, ie the left stick center with no throttle, it's done using a switch instead... so you'll need to adapt your wants some in order to get there from the vid I just watched. First thing, you must have an ESC that supports motor reversing. Some ESC's may need an update to support it IF that is an option on the model ESC you have. The next part, according to the video, is your receiver has to be a smart receiver and also support the function. The next part is to do all of the programming and if needed, firmware updating.
Here is that video... please note this video is for Spectrum brand equipment, other brands may work simularly but you'd need to research it for those brands to know for certain.
Now for a contridiction of sorts... Everything I mentioned is true for the model of parts I refered to ( without directly naming model numbers )... but the following article mentions what is needed if you are programming an arduino to do the reversing and in theory, could be adapted to a radio I think also. You still need an ESC that supports it, but the rest of the instructions cover how to setup a radio ( if it has the supporting programming ) could also support it... and this would put this on the left stick throttle....
Here is that article for what it's worth...
Reverse Thrust Setup — Plane documentation