The Remember Me Intergration Guide screen shows you the key piece of html you need to include in your Login Box template in order for the Remember Me module to function. The alert message in red at the top of the screen tells you there doesn't seem to be a suitable check box in the template.
Copy and paste the code below into your user login box template
This text area simple shows you the <input> tag you need in order for the Remember me module to work. How you place it in your template is entirely up to you. A suggested method is shown further down this page of documentation.
Login Box CSS
This is the same Login Box CSS as is used for the Core Module, editing this text will also change your Login Box CSS in the core.
Login Box Dialog
This is the same Login Box Dialog as is used for the Core Module, editing this text will also change your Login Box Dialog in the core.
Shown above is one way to insert the remember me check box with a label using the default template html tags and class names. The exact code is shown below and can be pasted into your Login Box Dialog template: