If you have created your reading list in Leganto and associated it with a module, you can use the Reading List tool in Moodle to add a link to the Reading List.
In your Moodle Module, turn Edit mode on:
Select Add an activity or resource:
Choose External tool:
Add an Activity name e.g. Module Reading List
Then select Reading List from the Preconfigured tool drop down box:
Save your changes.
A module reading list link will appear with the name you assigned to it: