Sidebar widget latest news random sort

This might be helpful. The masonry blog on this page has a setting and is set to randomize.:
http://www.boulderhardwoodfloors.com/blog/

This worked perfectly for lists of posts in the sidebars via widgets, the latest news widget with icon—in the sidebar on a post page.
Thank you.

It does not randomize in the sidebar widget on a portfolio page. See:
http://www.boulderhardwoodfloors.com/portfolio-item/bamboo-install-sand-and-finish/
and:
http://www.boulderhardwoodfloors.com/portfolio-item/american-cherry/

Can we add a little more code to make it work on a portfolio page, in addition to working on a post page?

Thank you in advance.

Doesn’t seem to be working.

Here’s what I got starting on line 450:

			if(empty($this->avia_term))
			{
				$additional_loop = new WP_Query("cat=".$cat."&posts_per_page=".$count."&orderby=rand");			}
			else
			{
				$catarray = explode(',', $cat);

				if(empty($catarray[0]))
				{
					$new_query = array("posts_per_page"=>$count,"post_type"=>$this->avia_post_type);
					$additional_loop = new WP_Query("cat=".$cat."&posts_per_page=".$count."&orderby=rand");
				}
				else
				{
					if($this->avia_new_query)
					{
						$new_query = $this->avia_new_query;
					}
					else
						$additional_loop = new WP_Query("cat=".$cat."&posts_per_page=".$count."&orderby=rand");
					{
						$new_query = array(	"posts_per_page"=>$count, 'tax_query' => array(
														array( 'taxonomy' => $this->avia_term,
															   'field' => 'id',
															   'terms' => explode(',', $cat),
															   'operator' => 'IN')
															  )
														);
					}
				}

				$additional_loop = new WP_Query($new_query);
			}

Could you please take another gander to see if I am putting in the code correctly?