Not sure the English name.
Basically it's a simple male and female connector with few wires, it added 2 additional wires to output 12v DC.
It's very easy to make your own version if you know the pin out.
Or you could use below things to take power from the lights wires, again need find out pin out first.
£0.41 76%OFF | 10PCS/20PCS Wire Connector Scotch Lock Snap AWG22-10 Without Breaking Cable Insulated Crimp Quick Splice Electrical Terminals
Smarter Shopping, Better Living! Aliexpress.com
a.aliexpress.com