Selecting employees with birthdays in given range using Oracle SQL

Question

For selecting birthdays between two months where FROMDATE and TODATE are some parameters in a prepared statement I figured something like this:

select
  p.id as person_id,
   ...
   ...
  where e.active = 1
        and extract(month from TODATE) >= extract(month from e.dateOfBirth)
        and extract(month from e.dateOfBirth) >= extract(month from FROMDATE)
        order by extract(month from e.dateOfBirth) DESC,
              extract(day from e.dateOfBirth) DESC

How can this be improved to work with days as well?

Answer 1

At the end we picked litter different solution where we add fist create the anniversary date :

where 
...
and (to_char(sysdate,'yyyy') - to_char(e.dateofbirth,'yyyy')) > 0
and add_months(e.dateofbirth,
              (to_char(sysdate,'yyyy') - to_char(e.dateofbirth,'yyyy')) * 12)
              >:fromDate:
and :toDate: > add_months(e.dateofbirth,
              (to_char(sysdate,'yyyy') - to_char(e.dateofbirth,'yyyy')) * 12)
order by extract(month from e.dateofbirth) DESC,
              extract(day from e.dateofbirth) DESC)