Widget is getting displayed using hook_node_view code in vud_node.module...

    /**
     * Implementation of hook_node_view().
     */
    function vud_node_node_view($node, $view_mode, $langcode) {
      // avoid showing the widget in some node builds
      $exclude_modes = array(
        NODE_BUILD_PREVIEW,
        NODE_BUILD_SEARCH_INDEX,
        NODE_BUILD_SEARCH_RESULT,
        NODE_BUILD_RSS,
      );
      if (in_array($node->build_mode, $exclude_modes)) {
        break;
      }
      if (($can_edit=user_access('use vote up/down on nodes')) || user_access('view vote up/down count on nodes')) {
        $node_type = in_array($node->type, variable_get('vud_node_types', array()), TRUE);
        $widget_showmode = variable_get('vud_node_widget_show', VUD_NODE_DISPLAY_BOTH);
        $tag = variable_get('vud_tag', 'vote');
        $widget = variable_get('vud_node_widget', 'plain');
        $vote_on_teaser = (bool)variable_get('vud_node_widget_vote_on_teaser', TRUE);
        $teaser = $a3;
    
        $widget_message_code = VUD_WIDGET_MESSAGE_ERROR;
        if (!$can_edit) {
          $widget_message_code = VUD_WIDGET_MESSAGE_DENIED;
        }
        elseif (!$vote_on_teaser) {
          $widget_message_code = VUD_NODE_WIDGET_MESSAGE_TEASER_DENIED;
        }
    
        if ($node_type) {
    
          switch ($widget_showmode) {
            case VUD_NODE_DISPLAY_TEASER_ONLY:
              if ($teaser == 1) {
                $node->content['vud_node_widget_display'] = array(
                  '#value' => theme('vud_widget', $node->nid, 'node', $tag, $widget, !$vote_on_teaser || !$can_edit, $widget_message_code),
                  '#weight' => -10,
                );
              }
              break;
            case VUD_NODE_DISPLAY_FULL_ONLY:
              if ($teaser == 0) {
                $node->content['vud_node_widget_display'] = array(
                  '#value' => theme('vud_widget', $node->nid, 'node', $tag, $widget, !$can_edit, $widget_message_code),
                  '#weight' => -10,
                );
              }
              break;
            case VUD_NODE_DISPLAY_BOTH:
              if ($teaser == 1) {
                $readonly = !$vote_on_teaser || !$can_edit;
              }
              else {
                $readonly = !$can_edit;
              }
              $node->content['vud_node_widget_display'] = array(
                '#value' => theme('vud_widget', $node->nid, 'node', $tag, $widget, $readonly, $widget_message_code),
                '#weight' => -10,
              );
              break;
          }
    
        }
      }
    }



Implement [hook_node_view_alter][1] in your custom module and change the weight to higher value so that it will be displayed at bottom...

In Drupal modules extends permissions by defining them using hook_permission.. You can find list of permissions in "admin/people/permissions" ..

For vote up / down set permissions in above page.. See screenshot below..

![enter image description here][2]


  [1]: https://api.drupal.org/api/drupal/modules!node!node.api.php/function/hook_node_view_alter/7
  [2]: https://i.sstatic.net/LEOpY.png