In order to publish Playlists atop your Layouts in Signagelive, you'll need to have a Layout with at least one empty Schedulable Zone atop it. Once you have this, we're ready to begin.
Head to Content > Publish and begin making your way through the publication process (for more information on this process - see here).
During Step 2 of the publication process ('What do you want to publish'), select Layout and then choose your Layout that contains your empty Schedulable Zones
When the Preview of your Layout populates, click on your empty Schedulable Zones and then click on the blue + under Default Playlist or Scheduled Playlists
Select your desired Playlist that you want to appear in each zone - after selecting your Playlists you should see your content populate within the preview
Proceed with completing the rest of the publication steps
Now when your content appears on your Player, you will have successfully mapped your Playlists to the Schedulable Zones on your Layout.