JSFiddle - React, Tailwind, and code Playground

HTML

<body>
<div>
<select multiple id="select1" class="whatever">
    <option value="1">Option 1</option>
    <option value="2">Option 2</option>
    <option value="3">Option 3</option>
    <option value="4">Option 4</option>
</select>
<img src="../Common/MultiSelect/img/switch.png">
<select multiple id="select2" class="whatever"></select>
</div>

<div>
<select multiple id="select3" class="whatever">
    <option value="1">Option 1</option>
    <option value="2">Option 2</option>
    <option value="3">Option 3</option>
    <option value="4">Option 4</option>
</select>
<img src="../Common/MultiSelect/img/switch.png">
<select multiple id="select4" class="whatever"></select>
</div>
</body>

CSS

.whatever {
    width:200px;
    height:50px;
    overflow:auto
}

JavaScript

$(document).ready(function() {
    $('select').change(function() {
        var $this = $(this);
        $this.siblings('select').append($this.find('option:selected')); // append selected option to sibling
        $('select', $this.parent()).each(function(i,v){ // loop through relative selects
            var $options = $(v).find('option'); // get all options
            $options = $options.sort(function(a,b){ // sort by value of options
                return a.value - b.value;
            });
            $(this).html($options); // add new sorted options to select
        });
    });   
});