First start by reading through the following unofficial FAQ on how to get the most out of using Twonky DLNA media server.
http://community.wd.com/t/faq-twonky-dlna-media-server-setup-use/95373
The next step is to access the My Cloud Dashboard and ensure each Share that has media that you want to stream through DLNA has the Media Serving option set to On. Also check the Dashboard > Settings > Media page and ensure Media Streaming is set to On. Sometimes it helps to hit the Rebuild button on that page too which triggers Twonky database rebuild.
Next one can check the Twonky administration page at http://wdmycloud:9000 or the IP address appended with “:9000”. Check the Media Receiver Type under Media Receiver the Sharing section. Sometimes one has to experiment with different Media Receiver Types to find one that works for their DLNA client.
Lastly, check the documentation or user manual for your LG Smart TV to ensure it supports the media formats your attempting to play/stream. Sometimes one has to reencode the video file using a different format because the DLNA client may not have the proper decoding codec for container video files like MP4 and similar formats.