Point container logs to a centralized logging container

I’ve got a LogDNA container (as shown here) that is supposed to collect the logs of all containers (on the host or the environment, not sure).
I’ve spun it up but receive no logs, which leads me to the thought that I need to configure my other services in way to tell them “send your logs to this LogDNA logging container”.
I am not pretty sure how to do that, thought.

I could do this in the docker-compose of my service:

      driver: syslog
        tag: docker
        syslog-address: "tls://syslog-a.logdna.com:6514"

(haven’t tested it whether it works), but this will defeat the purpose of having the centralized logging container, since with this configuration my service will send its logs directly to LogDNA instead of the centralized container.