This container need to use x11docker, to correctly perfoms ALSA and PulseAudio connection.
Clone the x11docker repository, with:
git clone https://github.com/mviereck/x11docker.git
Build the lutris container with:
docker build -f Dockerfile -t lutris .
Start the container with:
x11docker --alsa --pulseaudio lutris:latest lutris
Please refer you to the x11docker's documentation to know who to store the game data as you want.