[noun] + どころか [na-adj] + どころか [verb (plain)] + どころか [i-adj] + どころか
どころか rejects one idea to bring in a stronger one: "far from X", "let alone X". It follows a noun or a な-adjective directly, and a verb or an い-adjective in the plain form.
A な-adjective takes no な before どころか.
When the second half is negative, どころか means "never mind X – not even Y". Y is the easier thing, and it takes も or さえ. English "let alone" runs the other way and names the easier thing first, so learners swap the two.
The second half can also go further in the same direction. だけでなくwould simply add to the list; どころか says the first item was far too modest, and it carries surprise.