Electronic – Any idea on this USB interface type

Using usb connectors in a non-Standard acceptable method is against the USB specifications. Unless you are looking to conform to the USB specifications, there is no technical problem aside from end user problems. Non-standard usb connectors are fairly common, as is non-standard combinations (Usb female A to Usb Female A is common but against specifications, as are USB Y-Cables used to power external harddrives).

The only thing you can't do, according to the USB forum, is have the usb logo or name.

The use case you describe is a special corner case of the OTG standard, where the device acts as a host but draws power from the attached device. It requires a specific resistor value (100k) between the ID pin and ground of the mobile phone side micro USB connector to work.

There are a number of potential reasons why it is not working. Firstly, your phone may not support the feature correct. Secondly, the cable may not be wired correctly, in particular with the required resistor. You can easily test the cable with a multimeter and if this is correct then the issue more than likely lies in the phone.