There should be a content item marked 'Reading list' somewhere in the module already. Clicking the link opens a Talis Aspire overlay (follow any login prompts that appear) and presents the list associated with the respective module code and academic year. If so, click the 'save' button and exit using the X at the top-left. If not, find the right list using the search box then, with the right list on-screen, click 'save' to confirm then the X in the top-left to exit back to your module.
This video depicts the process (the video has no sound). NB: If a 'relink' button is displayed and the list on-screen is correct, no further action is needed and you can close the window.