FWIW, the original post was about 2564 vs 2764... and the latest picture posted related to 2532 vs 2732.
However, the point remains the same: if one can't make an adapter with both datasheets in hand... I'm not quite sure how to help. Are the specific pins which the OP isn't sure where to connect?
Adapters are pretty straightforward... start by connecting like pins (be careful of numbering, some sheets start at 0, others at 1). Enable pins are either active low or active high; read the datasheet to find out and tie them high or low if there are move enable pins on the IC than the one your "faking" it as. I'd use a pull-up resistor between Vcc and any pins being tied high. Mike sure Vpp is the same. Read up on the programming sequence (timing, etc.) to make sure it's similar.
However, again, I wouldn't bother with an adapter. IMHO, the OP is mis-understanding the meaning of "TEST" in the GQ-4X device list. (Based on the description given in the device info screen when it is selected).