The last official update for on the Xbox 360 was version , released on August 26, 2016. Since this platform is considered an "Old-gen" console, it does not support newer content like the 1.3 or 1.4 updates due to hardware limitations.
You're looking for information on the Terraria Xbox 360 title update download link. terraria xbox 360 title update download link
If your console is not triggering the update automatically, consider these steps: The last official update for on the Xbox
If you are searching for a download link, you may be tempted to use file-hosting sites or YouTube tutorials. Exercise extreme caution. If your console is not triggering the update
Final Verdict: There is no web download link. Use your Xbox 360 connected to the internet. That is the only safe, legal, and working method.
Here is the official and safe method to ensure you have the latest update installed.