Hi, @Nishant!
You can just map your own logo to /usr/share/kibana/src/ui/public/images/kibana.svg in Docker container.
Something like this:
docker run -d --name odfe-kibana -v /etc/kibana/ui/kibana_logo_custom.svg:/usr/share/kibana/src/ui/public/images/kibana.svg -e ELASTICSEARCH_URL=https://odfe-node1:9200 -p 5601:5601 --network odfe-net docker.nexus.yamoney.ru/amazon/opendistro-for-elasticsearch-kibana:0.8.0
This works in my case