This is a bit of a guessing game, but it sounds like this what you are looking for:
select matter_uno, matter_name, bill_empl_uno
from hbm_matter a
cross apply ( select top(1) with ties matter_uno, PART_CAT_CODE, EFF_DATE, EMPL_UNO
from TBM_CLMAT_PART
where matter_uno = a.MATTER_UNO
and PART_CAT_CODE = 'BILL'
order by eff_date desc) as b
where status_code = 'O'
and inactive = 'N'
and MATTER_UNO = 11275
order by a.MATTER_UNO
If this is off the mark, I think it helps if you post CREATE TABLE statements for your tables, INSERT statements with sample data and the desired result given the sample, so we can develop a tested solution.