[рони]

Nik_Dev,
поробуйте так ...

<script>
window.addEventListener('DOMContentLoaded', function() {
var indx = localStorage.getItem('indx');
[].forEach.call(document.querySelectorAll('.drop li'), function(item,i) {
        item.addEventListener('click', function() {
         localStorage.setItem('indx',i);
        });
        if(i == indx) {
        jQuery(item).trigger('click')
        jQuery('.slct').text(item.textContent)
        }
    });
    });
  </script>