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:

New instructions below :