bring (someone or something) under (someone or something)
To place someone or something under the management or supervision of another person, group, or thing. Your promotion also brings you under a new supervisor. I think it makes more sense to bring this department under Finance.
bring someone or something under someone or something
to assign someone or something to someone or something; to put someone or something under the management of someone or something. I had David brought under me, so I could keep an eye on his day-to-day work. David was brought under my jurisdiction.