[Dual List Box] Sorting of Listboxes addition

I like this component, but I feel it needs to sort the dual listbox contents as items shift between the two, so I'm including a patched version of the JavaScript:

    function SortList(listname) { 
        var $r = $(listname + ' option'); 
        $r.sort(function(a, b) { 
        //    return (a.value < b.value) ? -1 : (a.value > b.value) ? 1 : 0;
        // if you do not have value attribute for option use the text value. Replace the above line of code with the one below.
        return (a.text < b.text) ? -1 : (a.text > b.text) ? 1 : 0;
        }); 
        $($r).remove(); 
        $(listname).append($($r)); 
    } 

function triggerTransferClick(sourceListBox, targetListBox, hidenListBox, isLeft2right, nothingToMoveMessage) {
    var selectedOpts = $('#' + $(sourceListBox).attr('id') + ' option:selected');

    if (selectedOpts.length == 0) {
        alert(nothingToMoveMessage);
    } else {
        $(targetListBox).append($(selectedOpts).clone());

        $('#' + $(sourceListBox).attr('id') + ' option:selected').each(function() {
            var value = $(this).val();
            $('#' + $(hidenListBox).attr('id') + ' option').each(function() {
                if ($(this).val() == value) {
                    if (isLeft2right)
                        $(this).attr('selected', 'selected');
                    else
                        $(this).removeAttr('selected');
                }
            });
        });

        $(selectedOpts).remove();

        if ($('.filter').val() != '' && $('#' + $(sourceListBox).attr('id') + ' option:visible').length == 0) {
            $('.filter').val('');
            if (isLeft2right) {   
                doFilter($(sourceListBox), '');
                //SortList($(sourceListBox));
            }
            else {
                doFilter($(targetListBox), '');
                //SortList($(targetListBox));
            }
        }
    SortList('#" + ListBoxId1 + "'); 
    SortList('#" + ListBoxId2 + "'); 
    }
}

function doFilter(listBox, filterText) {
    var count = 0;
    $('#' + listBox.attr('id') + ' option').each(function () {
        if ($(this).text().search(new RegExp(filterText, 'i')) < 0) {
            $(this).hide();
        } else {
            $(this).show();
            count++;
        }
    });
    $('#' + listBox.attr('id') + ' option:visible').first().attr('selected', 'selected');
    return count;
}

$(document).ready(function() {
    var nothingToMoveMessage = '"+NothingToMoveMessage+"';
    var listBox1 = $('#" + ListBoxId1 + "');
    var listBox1Id = $('#" + ListBoxId1 + "').attr('id');
    var listBox2 = $('#" + ListBoxId2 + "');
    var listBox2Id = $('#" + ListBoxId2 + "').attr('id');
    var listBox3 = $('#"+ListBoxId1+"_"+ListBoxId2+"');
    var listBox3Id = $('#"+ListBoxId1+"_"+ListBoxId2+"').attr('id');
    var arrow = {left: 37, up: 38, right: 39, down: 40 };

    $(listBox2).hide();
    $('#' + listBox1Id + ' option:selected').remove();
    $(listBox3).append($('#' + listBox2Id + ' option:selected').clone());

    $('#' + listBox3Id + ' option').each(function() {
        if ($(this).attr('selected') == 'selected')
            $(this).removeAttr('selected');
        else
            $(this).hide(); 
    });

    $(listBox3).attr('style', $(listBox1).attr('style')).addClass($(listBox1).attr('class'));

    $('.filter').keyup(function () {
        var filterText = $(this).val();
        var count = doFilter($(this).parent().find('select:visible'), filterText);
        $('#filter-count').text(count);
    });


    $('.btnRight').click(function (e) {
        triggerTransferClick(listBox1, listBox3, listBox2, true, nothingToMoveMessage);
        e.preventDefault();
    });

    $(document).on('dblclick', '#' + listBox1Id + ' option', function(e) {
        triggerTransferClick(listBox1, listBox3, listBox2, true, nothingToMoveMessage);
        e.preventDefault();
    });

    $('.btnAllRight').click(function (e) {
        $('#' + listBox1Id + ' option').attr('selected', 'selected');
        triggerTransferClick(listBox1, listBox3, listBox2, true, nothingToMoveMessage);

        e.preventDefault();
    });

    $('.btnLeft').click(function (e) {
        triggerTransferClick(listBox3, listBox1, listBox2, false, nothingToMoveMessage);
        e.preventDefault();
    });

    $(document).on('dblclick', '#' + listBox3Id + ' option', function(e) {
        triggerTransferClick(listBox3, listBox1, listBox2, false, nothingToMoveMessage);
        e.preventDefault();
    });

    $('.btnAllLeft').click(function (e) {
        $('#' + listBox3Id + ' option').attr('selected', 'selected');
        triggerTransferClick(listBox3, listBox1, listBox2, false, nothingToMoveMessage);

        e.preventDefault();
    });

    $(listBox1).keydown(function (e) {
        var keyCode = e.keyCode || e.which;
        if (keyCode == arrow.right)
            triggerTransferClick(listBox1, listBox3, listBox2, true, nothingToMoveMessage);
    });

    $(listBox3).keydown(function (e) {
        var keyCode = e.keyCode || e.which;
        if (keyCode == arrow.left)
            triggerTransferClick(listBox3, listBox1, listBox2, false, nothingToMoveMessage);
    });
});
 

Thank you very much James. I just uploaded a new version of the component with your contribution.