My suggestion would be to not restrict the home page itself to authenticated users. Instead, the home page should allow anonymous access, but set the access controls as in your screenshot for all the child pages except for the one you have identified as being open to all.
In practice, your home page navigation bar should then have sign in and the open page - with the rest hidden until sign-in.
If you have content on your home page that you wish to restrict to authenticated users, then you can use liquid to check for the users roles and show/hide dynamically.