

Both your containers need share at least one network. It looks like have created a external network. Good job. The next step is to configure your container to join the network. Do something like this:
services:
nginx-proxy-manager:
....
networks:
- nginx-proxy-manager_default # or just nginx
...
networks:
nginx:
name: nginx-proxy-manager_default
external: true
Don’t forget to also add the network in your audiobookshelf service.
Maybe this helps: https://docs.docker.com/compose/how-tos/networking/#use-an-existing-network
😂