For Chrono Cross I don't see any other file format that gme and ePSXe support this type memory cards.Just select it from Config=>Memory Cards.
The other way is to use
PSXGameEdit to export the save and put it into your mcr memory card but the problem is the PSXGameEdit can't save as mcr and you have to save as one of the supported formats and then from Config=>Memory Cards to select the card that you created
PS.When you open your mcr card and import the Chrono Cross save and save the memory card,all the saves that were on the mcr card will be copied to the new card too including the Chrono Cross save.