I have serious doubts that the Uno bootloader will work correctly on your LGT8F328P.
If you want to use the LGT8F328P as a programmer, you need to upload the ArduinoISP sketch to it.
Next you select the board to which you want to upload the sketch or burn the bootloader, select the port of the programmer (your LGT8F328P in this case), connect the boards via ICSP and you're good to go.
To run Arduino as ISP on an LGT processor should not require a special version of the sketch. But it will only program actual AVRs; the LGTs use a different burn algorithm.
Can you provide the additional URL fr the LGT8F328 that you specified in file->preferences. So I can install the board package and try to find what goes wrong.