On line 6 of that pastebin:
$included_cats = array( 0, 2, 10 );
Replace the numbers with the category id’s you want the shortcode to show up on.
$included_cats = array( 3, 4, 5 );
That would work for 3 4 and 5. Say you wanted to add more you could do:
$included_cats = array( 3, 4, 5, 10, 11 );
And so on.