If you want to search for any of multiple strings in datatables , you can use the regex option, here is an example
table.columns( 3 ).search('string A| String B', true, false).draw();
3 is the index of the column you want to search
String A, String B are the 2 strings you want to search any of them
true: to indicate that you want to use regex
false : tell datatables not to use smart search option as it uses regex and may conflict with the regex you are using