Like a list item function

I'm trying to implement the standard like function to a custom view I wrote.

My code for getting the items, getting LikesCount and how I display them:

<script type="text/javascript">

$(document).ready(function() {    
    // Rest Call
    var requestUri = "/_api/lists/getbytitle('Shout')/items";

    var llength = "";

        $.ajax({
            url: requestUri,
            type: "GET",
            headers: { "ACCEPT": "application/json;odata=verbose" },
            success: function (data) {
                $.each(data.d.results, function (i, item){
                    var title = item.Title;
                    var description = item.Description;
                    var pictureURLDesc = item.PictureURL.Description;
                    var pictureURL = item.PictureURL.Url;   
                    var linkDesc = item.Link.Description;
                    var linkURL = item.Link.Url;    
                    var likesCount = item.LikesCount;               

                    try 
                    {
                        llength = description.slice(0, 120);
                    } 
                    catch ( err ) 
                    { 
                        alert( err ); 
                    }               

                    // alert("The item has " + likesCount + " likes");

                    // Set News item                        
                    document.getElementById("head" + i).innerHTML = "<div class='thumbnail-img'><div class='overflow-hidden'><img class='img-responsive' src=" + pictureURL + " alt=" + pictureURLDesc + "/> &#160;</div><a class='btn-more hover-effect' href='#'><i class='icon-thumbs-up'></i> " + likesCount + "</a></div><div class='caption'><h3><a class='hover-effect' href='#'>" + title + "</a></h3><p>" + llength + "</p></div>";

                })
            },
            error: function () {
                alert("Error getting items");
            }                     
        });    

});

The function is turned on in the list and I can rate / unrate the items there.

This is how it is displayed by now:

Now I want this functionality in my script. I found several posts how to like a page, but nothing which helps me to like a list item.

I would like to call the function in here:

<a class='btn-more hover-effect' href='#'>

I can get the current LikesCount with REST, but how to set and unset?

Any Step-by-Step guides known?