This is how a set of address tests for the Exim lists look on a working
system. The list in question is quixote-users@mems-exchange.org, and
these commands were run on the mems-exchange.org mail server ("% "
indicates the Unix shell prompt):
% exim -bt quixote-users quixote-users@mems-exchange.org router = mailman_main_router, transport = mailman_transport % exim -bt quixote-users-request quixote-users-request@mems-exchange.org router = mailman_router, transport = mailman_transport % exim -bt quixote-users-bounces quixote-users-bounces@mems-exchange.org router = mailman_router, transport = mailman_transport % exim -bt quixote-users-bounces+luser=example.com quixote-users-bounces+luser=example.com@mems-exchange.org router = mailman_router, transport = mailman_transport
If your exim -bt output looks something like this, that's a start: at least it means Exim will pass the right messages to the right Mailman commands. It by no means guarantees that your Exim/Mailman installation is functioning perfectly, though!