I have good news.
In my EFI partition I was using Clover 5161. In the Clover options menu in the graphics section, my graphics card was listed as 'AMD unknown model'. I tested older versions of Clover, and version 5155 showed it as 'AMD Radeon 8800M series'. I now could use the InjectATI option without the X64 Exception.
I'm still not sure if Mojave graphics acceleration is fully enabled, but I tested the game Plasma Pong and has a locked 59 Hz like the monitor.
I added in Devices/Properties the name of my graphics card and it's now correctly shown in Mavericks and Mojave. Only the CPU type is shown wrong, 700 MHz Intel Core i7. But that can be fixed.