You have a mismatch of the screen and the type of inverter bought, if you bought them separate from each other. and it did not come as one kit.
And why the back light does not work.
The exact inverter must be bought for the model of laptop. and the correct screen part number or model of the laptop.
If that does not fix the problem, then the physical fault is with the motherboard of the laptop not providing power to the inverter board.