In cace anyone has the same need: After a lot of trying and going threw files in /adapter I found a working variables for the templates files. (Prestashop 1.7.5)
in order_detail_no_return.tpl and order_detail_return.tpl change the variables to:
<tr class="text-xs-right line-{$order.totals.total.type}"> <td colspan="3">{$cart.totals.total_including_tax.label}</td> <td>{$order.totals.total_paid.value}</td> </tr>
in history.tpl change the variables to:
<th scope="row">{$order.details.reference}</th> <td>{$order.details.order_date}</td> <td class="text-xs-right">{$order.totals.total_paid.value}</td> <td class="hidden-md-down">{$order.details.payment}</td>
Now it's the total including taxes.