Tap the sharing icon in the upper right corner of the shopping list and invite your contacts to share the list:
If you have already shared your lists with others before, the app will display these people among your recent contacts:
If you do not have the required person the contacts list, enter his/her email in the contacts entry field and tap the square button with plus in it:
Person you've shared the list with will see the shared list among his/her lists. Those who don't have an account in the application yet will get an email with the invitation to the shared list.
Remember, you need to be authorised in the app (learn how to log in or register).