a/21671746/1636522

HTML

<ul id ="sort">
    <li id="num01">1</li>
    <li id="num03">2</li>
    <li id="num02">3</li>
    <li id="num04">4</li>
</ul>

JavaScript

var list = $('#sort'),
    items = list.children().get();
list.append(items.sort(function(a, b){
    return new Date(b.id) - new Date(a.id);
}));