Some 3rd party plugins may have shortcodes you can insert into Alidropship theme files, but you'll have to make a child theme and edit the HTML/PHP in the files to insert them. But you'd have to know what you're doing.
e.g In the Davinci theme I inserted a shortcode for a Skype Button plugin in the header.php file of the theme. It required replacing the code for the Phone number. And I also replaced the code for the McAfee logo with a shortcode for a Google Translate plugin ... also in the header.php file of the theme.
I think you're getting confused with Woocommerce perhaps. It has a list of shortcodes to insert in the Home page for "Latest Products", "Best Sellers" etc