AMD requires Mesa 20.3+, Intel requires Mesa 21.2+. For NVIDIA’s proprietary driver, version 515.43.04+ is required (make sure the nvidia-drm.modeset=1 kernel parameter is set).
Do these games launch when the gamescope option is disabled?
You can also check the logs by selecting the game in lutris and pressing the arrow beside the play button on the bottom to bring up the logs and see if theres any useful info there