"I do not remember both employees."
Translation:Nie pamiętam obojga pracowników.
here oboje(obojga) and obaj(obu) are correct, as well as obie pracownice (obu pracownic), as we have no info on gender of the people.
oboje is for mixed gender (male+female), or neuter, or neuter + male/female, two poeple, or a person+an animal
obie is for female nouns
obaj is for masculine personal
oba- is for masculine not personal nouns , and neuter nouns