Pretty awful website doesn't give any hope for much support. Products appear to be badged up generic Chinese tat.
If it's a mini-DIN, the chances are it is a video connector of some kind, possibly an S-Video connection.
Your mileage may vary but these may be of some use:
https://en.wikipedia.org/wiki/S-Video
http://mirrors.arcadecontrols.com/eviltim/eviltim/gamescart/gamescart.htm
With no real standards and no OEM support, you are probably on a hiding to nothing
Acp
September 2017