Wordpress - wordpress redirect after password reset

The "correct" answer doesn't work here because the action 'password_reset' fires before the password is reset.

I modified the first answer, before the update, to work.

function wpse_lost_password_redirect() {

    // Check if have submitted
    $confirm = ( isset($_GET['action'] ) && $_GET['action'] == resetpass );

    if( $confirm ) {
        wp_redirect( home_url() );
        exit;
    }
}
add_action('login_headerurl', 'wpse_lost_password_redirect');

Edit: Didn't have enough rep to comment so I'm posting this as a new answer.

Here is a simple solution. Im hooking into login_headerurl. Maybe there is a better hook for this but it works, Put this in your functions.php:

function wpse_lost_password_redirect() {

    // Check if have submitted 
    $confirm = ( isset($_GET['checkemail'] ) ? $_GET['checkemail'] : '' );

    if( $confirm ) {
        wp_redirect( home_url() ); 
        exit;
    }
}
add_action('login_headerurl', 'wpse_lost_password_redirect');

What it does, it runs on login_headerurl and checks for the GET parameter "checkedmail" which you get after you submitted a valid username or email. Then i redirect by using the awsome function wp_redirect to the home_url.

UPDATE after comment

If you want to redirect the user after submitted a new password you only need to use the hook password_reset here is an example:

function wpse_lost_password_redirect() {
    wp_redirect( home_url() ); 
    exit;
}
add_action('after_password_reset', 'wpse_lost_password_redirect');

I can't see how the "UPDATE after comment" answer works.

The documentation for the 'password_reset' hook says "Fires before the user's password is reset.".
If you redirect, then exit the password won't get changed.

Since I had a similar need I developed my solution to the problem. We still respond to the "password_reset" hook but instead of performing the redirect immediately we add a hook for the "login_url" filter. And it's in this filter that we add the redirections to the home page after the user has logged in.

 add_action( "password_reset", "rngs_password_reset", 10, 2 );

/**
 * Implement "password_reset" for RNGS
 *
 * After a password reset has been performed we want the Log in link to redirect the user to the home url.
 * When we see this action being run we know that we should be filtering "login_url" to add the redirect the home page.
 * We don't filter "login_url" any other time. 
 *
 * @param WP_User $user - the user object
 * @param string $new_pass - the new password
 *  
 */
function rngs_password_reset( $user, $new_pass ) {
  add_filter( "login_url", "rngs_login_url", 10, 2 );
}

/**
 *  Implement "login_url" filter for RNGS
 *
 * Redirect the user to the home page after logging in
 *
 * @TODO - make this an option field that controls where the logged in user goes
 * @TODO - dependent upon role?
 * 
 * @param string $login_url - the original login_url which is not expected to include "redirect_to" or "reauth"
 * @param string $redirect - expected to be null/blank
 */
function rngs_login_url( $login_url, $redirect ) {
  $home_redirect = home_url();
  $login_url = add_query_arg('redirect_to', urlencode( $home_redirect ), $login_url);
  return( $login_url );
}