The plugin used in this tutorial is jQuery UI widget.
You can download from repository directly or from the following link

Download Plugin

Following code will go into integration section;
Divi > Integration > Above Head

<link rel="stylesheet" type="text/css" href="https://cdnjs.cloudflare.com/ajax/libs/slick-carousel/1.8.1/slick.css"/>
<script type="text/javascript" src="//cdnjs.cloudflare.com/ajax/libs/slick-carousel/1.8.1/slick.min.js"></script>

Following code will go into jQuesy script;
Dashboard > Settings > Jquery UI widget

jQuery(document).ready(function($) {

$('.blog_carousel .et_pb_ajax_pagination_container').slick({
  slidesToShow: 3,
  slidesToScroll: 1,
  autoplay: true,
  autoplaySpeed: 2000,
  responsive: [
    {
      breakpoint: 968,
      settings: { slidesToShow: 2 }
    },
    {
      breakpoint: 680,
      settings: { slidesToShow: 1 }
    }
  ]
});

});

Following CSS will go under custom CSS
Divi > Custom CSS

.blog_carousel .et_pb_post {
  	padding:20px !important;
  	margin:0px 10px !important;
    border: 1px solid #eee;
}
.slick-prev,
.slick-next {
    font-size: 0;
    line-height: 0;
    position: absolute;
    top: -5%;
    width: 20px;
    height: 20px;
    margin-top: -10px;
    padding: 0;
    cursor: pointer;
    color: transparent;
    border: none;
    outline: none;
    background: transparent;
    display: inline-block;
    width: 20px;
    height: 20px;
    line-height: 1;
    font-family: dashicons;
    text-decoration: inherit;
    font-weight: 400;
    font-style: normal;
    vertical-align: top;
    text-align: center;
    -webkit-transition: color .1s ease-in 0;
    transition: color .1s ease-in 0;
    -webkit-font-smoothing: antialiased;
    -moz-osx-font-smoothing: grayscale;
    z-index: 9;
}
.slick-next {
    left: 20px;
}
.slick-prev:before {
    color: #000;
    font-size: 35px;
    content: "\f341";
}
.slick-next:before {
    color: #000;
    font-size: 35px;
    content: "\f345";
}