log in Function doesn't handle incorrect password!

Hello there ??

i just realize that a function that i’m using redirects users that also entered an incorrect password to the homepage

how can i filter this and redirects users that enter an incorrect password to the “fail login” seite?

i use following function:

add_filter('woocommerce_login_redirect', 'pro_login_redirect');

function pro_login_redirect( $redirect_to ) {
     $redirect_to = home_url();
     return $redirect_to;
}

thanks in advanced