Keep track of result sets for each parameter in a table valued parameter

Question

I have got this fairly complex query with multiple recursive members, which I need to run for a list of values, say for example Product Ids (the query outputs parent id along with all its child ids). How can I print out the result set for each of those values alongside that value itself.

Consider a scenario like below...

DECLARE @products table (prdid varchar(40));
Insert INTO @products values('A111'),('B111'),('A123'), ('Z456');

with rec_query as (
                    ---anchor member
                     '
                     '
                    where pid IN @products
                    UNION ALL
                    ---recursive members
                    '
                    '
                  )

I want something like

select prdid, rec_query.*    

which would output something similar to below result

A111| its result set
B111| its result set
A123| its result set