Internal video acceleration for games is supported only under macOS 10.14+.
If you are using macOS 10.14.6+, you can accelerate applications and games with the eGPU if they support GPU acceleration...
Select the app in Finder
Get Info
Select Prefer External GPU
To get the maximum game acceleration, connect a game display to external graphics.
If you are connecting from a DVI (or sometimes DP) port on your GPU Card--via an adapter cable--to an HDMI port on your monitor and the display looks magenta, you can fix the issue in the monitor control panel. Go to the monitor Color Settings; select Input Color Format; change from RGB to YPbPr. That should solve the problem.