Whole Site Private (Members by MemberPress), Wrong initial login url

Hello
I use wordpress with free plugin “Members” from Memberpress to make my personal blog site private. Everithing is working fine except for the login.

After going to the site url:https://examples.com I’m automatically redirected to

https://example.com/wordpress/wp-login.php?redirect_to=https%3A%2F%2Fexample.com%2F&reauth=1

This login form doesn’t work.

After klick on “go to example” button (under “forgot password”) the url changes to

https://example.com/wordpress/wp-login.php?redirect_to=https%3A%2F%2Fexample.com%2Fwordpress%2F&reauth=1

then login is working perfect.

Anyone a solution?`