Question

<ul class="name-email-list">
      <li>xxxx<strong> tttttt</strong><a href="#." class="icon-close"></a></li>
 </ul>

Answer 1

.appendTo()

jQuery documentation
First get your content and append it to some element:

$("<li>WhateverContent</li>").appendTo(".name-email-list");

.append()

jQuery documentation
First get some element and append it your content:

$(".name-email-list").append("<li>WhateverContent</li>");

As you can see either of them can be used. They work the opposite way. Use the one that’s easier to understand.