从PHP脚本获取Smarty格式的数据

My PHP script, that I call via XMLHttpRequest, executes a query and checks a condition, then outputs a HTML snippet with some Smarty code. When I try to insert that code in a <div> tag, either by calling the jQuery.html() function or by setting the innerHTML property, the Smarty code is printed as it is, thus not interpreted as Smarty code. How could I solve this problem?

Relevant code:

PHP Script:

<?php
        $mysqli = new mysqli("localhost", "<<<SQL USERNAME>>>", "<<<SQL PASSWORD>>>", "<<<SQL DATABASE>>>");
        $id = $_GET["idmf"];
        $cat = $mysqli->query("<<<SQL QUERY>>>")->fetch_assoc()["category"];
        if ($cat == $_GET["cat"])
            echo 'blahblah';
?>

TPL file:

{foreach from=$manufacturers item=manufacturer name=manufacturers}
    <div id="mffilter_{$manufacturer.id_manufacturer}"></div>
    <script>

        var xhttpf;
        if (window.XMLHttpRequest)
        {
            xhttpf = new XMLHttpRequest();
        }
        else
        {
            // code for IE6, IE5
            xhttpf = new ActiveXObject("Microsoft.XMLHTTP");
        }
        xhttpf.onreadystatechange = function()
        {
            if (this.readyState == 4 && this.status == 200)
            {
                document.getElementById("mffilter_{$manufacturer.id_manufacturer}").innerHTML = this.responseText;
            }
        };
        xhttpf.open("GET", "<<<ENDPOINT>>>.php?cat=food&idmf={$manufacturer.id_manufacturer}", true);
        xhttpf.send();

    </script>

Try replacing your TPL file code with the following code:

{foreach from=$manufacturers item=manufacturer name=manufacturers}
    <div id="mffilter_"{$manufacturer.id_manufacturer}></div>
    <script>

        var xhttpf;
        if (window.XMLHttpRequest)
        {
            xhttpf = new XMLHttpRequest();
        }
        else
        {
            // code for IE6, IE5
            xhttpf = new ActiveXObject("Microsoft.XMLHTTP");
        }
        xhttpf.onreadystatechange = function()
        {
            if (this.readyState == 4 && this.status == 200)
            {
                document.getElementById("mffilter_"{$manufacturer.id_manufacturer}).innerHTML = this.responseText;
            }
        };
        xhttpf.open("GET", "<<<ENDPOINT>>>.php?cat=food&idmf="{$manufacturer.id_manufacturer}, true);
        xhttpf.send();

    </script>