Add $more_link_text parameter to the_excerpt()

You can use get_post_type

add_filter('excerpt_more', 'new_excerpt_more');

    function new_excerpt_more($more) {
        global $post;

        $post_type = get_post_type($post);
        switch( $post_type ):
            case 'event':
               $teaser="<a class="moretag" href="". get_permalink($post->ID) . '"> More events </a>';
               break;

            case 'post':
               $teaser="<a class="moretag" href="". get_permalink($post->ID) . '"> &hellip; </a>';
               break;

            default
                $teaser="";
        endswitch;

        return $teaser;
    }