If you have a custom login page already, you may not want to introduce a whole new plugin. You can change ‘from’ name and email with these simple functions in your theme or plugin.
To change the name
add_filter( 'wp_mail_from_name', 'custom_wpse_mail_from_name' );
function custom_wpse_mail_from_name( $original_email_from ) {
return 'Yours Truly';
}
To change the email
add_filter( 'wp_mail_from', 'custom_wpse_mail_from' );
function custom_wpse_mail_from( $original_email_address ) {
return '[email protected]';
}
If you want to use the same email address everywhere, you can simply set that in the general settings and change the name only. If you want to change it for just the password recovery, there are resets for the above functions that will return in to it’s default settings. It’s all in the codex. Here are a couple links to get you in the right direction:
https://codex.wordpress.org/Plugin_API/Filter_Reference/wp_mail_from_name
https://codex.wordpress.org/Plugin_API/Filter_Reference/wp_mail_from