To link as many devices as you want to the "Family Shopping List" application, simply enter the "Register" section of the application and register a device. All the devices you want to link will only have to "Log in" with the email and password that you have used.
The "Family Shopping List" application allows all family members to share the same shopping list by adding, modifying or commenting on each product. For example, if a family member detects that they need to buy milk, they add that product to the family shopping list. Then if another member purchases the milk, they can add a comment saying that they have already purchased it, updating that information immediately on all linked devices.
Once registered you can access the application and add, edit or delete elements.
The idea is that when a family member sees that a product needs to be purchased, they can add it to the shopping list. Then, when another member purchases it, they modify the list indicating that they have already purchased it. You can also add more details to that purchase or delete the entry when the entire family already knows that the product has been purchased.