[Answer]-Django+celery: how to show worker logs on the web server

Do not move logs, just log to the same place. It can be really any database (relational or non-relational) accessible from the web server and Celery workers. You can even create (or look for) appropriate python logging handler, saving log records to the centralized storage.

Maybe the solution isn’t to move the logs, but to aggregate them. Take a look at some logging tools like splunk, loggly or logscape.