@jrbandido:
You got my curious about this one because I have been talking about getting my parents a Hubitat and some home automation set up when they move into their next house and a pet door is one item that sparked their interest.
I emailed the company asking if the device has a status/control webpage or if there is an API. If they come back with anything useful I would be willing to take a shot at a driver for it. The phone app MUST be communicating with the device somehow... but like @csteele said, reverse engineering that is a step I probably would not be willing to do (especially lacking one of the doors).
@JohnRob is also correct though... probably only about half of the companies I contact for more information respond and half of those that do are unwilling to provide any information (but there is still that 1/4).