JSFiddle - React, Tailwind, and code Playground

HTML

<ul id="menu">
       <!-- <li><a href="{setting="base_url"}"><i class="fa fa-home" aria-hidden="true"></i> Strona główna</a></li> -->
        <li><a href=""><i class="fa fa-users" aria-hidden="true"></i> Admini</a></li>
        <li><a target="_blank" href="http://dema.cs-placzabaw.pl"><i class="fa fa-play-circle-o" aria-hidden="true"></i> Dema</a></li>
        <li><a target="_blank" href=""><i class="fa fa-ban" aria-hidden="true"></i> SourceBans</a></li>
        <li><a target="_blank" href=""><i class="fa fa-shopping-cart" aria-hidden="true"></i>Sklep VIP 24/7</a></li>
        <li><a target="_blank" href=""><i class="fa fa-bar-chart" aria-hidden="true"></i>Statystyki</a></li>
        <li><a target="_blank" href=""><i class="fa fa-search" aria-hidden="true"></i>Szukaj</a></li>
  <!-- *PRZYCISK WIĘCEJ* --> 
</ul>
 <div class="dropdown">
  <button class="dropbtn">
    <i class="fa fa-caret-down" aria-hidden="true">    
    Więcej</i></button>
        
  <div class="dropdown-content">
   <a target="_blank" href="">Szukaj</a>
   <a target="_blank" href="">Kluby</a>
  </div>
</div>

CSS

/* Dropdown Button */
.dropbtn {
    background-color: #4CAF50;
    color: white;
    padding: 16px;
    font-size: 16px;
    border: none;
    cursor: pointer;
}

/* The container <div> - needed to position the dropdown content */
.dropdown {
    position: relative;
    display: inline-block;
}

/* Dropdown Content (Hidden by Default) */
.dropdown-content {
    display: none;
    position: absolute;
    background-color: #f9f9f9;
    min-width: 160px;
    box-shadow: 0px 8px 16px 0px rgba(0,0,0,0.2);
    z-index: 1;
}

/* Links inside the dropdown */
.dropdown-content a {
    color: black;
    padding: 12px 16px;
    text-decoration: none;
    display: block;
}

/* Change color of dropdown links on hover */
.dropdown-content a:hover {background-color: #f1f1f1}

/* Show the dropdown menu on hover */
.dropdown:hover .dropdown-content {
    display: block;
}

/* Change the background color of the dropdown button when the dropdown content is shown */
.dropdown:hover .dropbtn {
    background-color: #3e8e41;
}