I've never used Lutris but I know cs4 can work in wine, I've done it before. (I use Gimp now before anyone points out that I should be using Gimp instead). The method I've found for manually getting random wine stuff to work is as follows:
Step 1. Get winetricks and figure out how wineprefixes work.
Step 2. Scroll through the winetricks dll menu, make an educated guess on what library to try installing and install it. Direct x and netframework are often the first things I try but c++ runtimes are important too.
Step 3. Try the program after installing the thing you guessed it needed. If it works better than before, go back to step 2 and repeated until the program works correctly. If its borked so badly it doesn't even start, delete the wineprefix, go back to step 2 and pick different dlls.
Pro-tip: test your program by running it in a terminal instead of double clicking an icon. Sometimes when it crashes, it leaves behind useful information such as "error: missing mscorefonfs" or whatever in which case you should see if the thing it's complaining about is in your winetricks dll menu.