Solution:
You can make your own login with following code:
$username = $_POST['username'];
$password = $_POST['password'];
$creds = array();
$creds['user_login'] = $_POST['username'];
$creds['user_password'] = $_POST['password'];
$creds['remember'] = false;
$user = wp_signon( $creds, false );
if ( is_wp_error($user) )
{
$result['type'] = "error";
$result['message'] = __('Username or password is incorrect', 'rs-theme');
}
else
{
$result['type'] = "success";
$result['message'] = __('Logged in successfully', 'rs-theme');;
}