From what I understood, you want to get products on US site from UK site.
You can use switch_to_blog()
to direct your queries to your sub-site. This function uses blog_id
as parameter.
So, in your case,
switch_to_blog(2);
//your code to fetch data
restore_current_blog(); //this restores query to current sub-site.
See documentation: https://developer.wordpress.org/reference/functions/switch_to_blog/