There are many ways to share your music on Facebook.
You can simply visit a digital music platform that your music is distributed to. Pull up your content and select share. Many platforms have a share button in different locations. Spotify, Apple Music
You can also try this free to use service https://songwhip.com You can search your artist name and album or track title. Then you can click "Share" and choose the social platform of your choice. This gives your fans a direct portal to your content on their preferred music service.
Click on the three dots
Choose the platform you wish to share on.
Apple Music and iTunes offer the share option in different locations. Plus they have frequent product updates.
You can get embed code and sharable link here - https://linkmaker.itunes.apple.com/en-us
On Apple Music to the far right of the title click on the three dots
Select Share Song
Make a choice
From the iTunes Store
Next to the price Select the dropdown
Choose from one of the share options.