Hello @lausianne
I’m not sure exactly where you want to login. It maybe plugin conflict. Actually we don’t have anything with login and log out option in WP Adminify plugin.
But I can assist you to resolve the issue.
First I request you to try FTP for creating a admin Account – Follow this guideline : https://jeweltheme.com/blog/create-user-admin-account-on-wordpress-via-ftp-php
Second you can try Database to reset your password by following this steps: https://jetpack.com/blog/cannot-login-or-access-wordpress-admin/
I hope these reference will help you. If you still face any problem please let me know. If possible provide screenshot.
I mean on your website, to log in to my accout there and download the plugin. I used the same password as before, then reset it twice, still same password, still failed, then I got blocked. When trying again some time later, still same credentials, eventually it worked. So I guess it is resolved now. Thank you.