Pokemon Colosseum is one a few games that actually will check this, FZero and PSO are the others iirc.
For all other games the method quoted by Shonumi should work
--edit--
sram.bin should be identical to when the other card was made, unless OP has used a memorycard dump from a real console
the memory card serial number also depends on the timestamp when the card was formatted.
the procedure to fix will be similar to above, but the Serial will need to be calculated from the memorycard.raw file not simply read from sram
For all other games the method quoted by Shonumi should work
--edit--
sram.bin should be identical to when the other card was made, unless OP has used a memorycard dump from a real console
the memory card serial number also depends on the timestamp when the card was formatted.
the procedure to fix will be similar to above, but the Serial will need to be calculated from the memorycard.raw file not simply read from sram