Maighstir: ... make sure not to change their names from what GOG named them ...
You can rename the files but you have to name the exe and the bin file with the same name.
For example if you name the exe "ABS.exe" the bin files have to be named as "ABS-1.bin", "ABS-2.bin" and so on.
I always rename my downloaded games because the way GOG named the files looks too cryptic for me. :)
Maighstir: Put the files in the same folder, make sure not to change their names from what GOG named them. Use the Wine Explorer to browse to the relevant folder, and run the installer. That should work.
MindsEyeSplinter: Hey. Thanks for the reply: I did do this, but Wine forced me to chose only
one of the two files in the folder. What do I do now?
Only choose the exe file in Wine. The exe grabs what it needs automatically because of the dependencies. Only condition is that all fies are in one folder, named the right way.