Contacts in "Shared People" and "Shared Companies" lists cannot be shared with other Daylite users as they are user-specific.
By enabling this option from the Daylite Preferences > Contact Sharing, you can share people and companies added to these lists with Apple Contacts and other apps on your Mac, iPhone, and iPad for the user you are logged in as. To set this up, please have a look at the steps for Contact sharing here.
To share contact lists with other Daylite users, you can use Smart Lists. For steps on setting up and sharing Smart Lists with other Daylite users, please look here.