She asked him to raise funds.

Literal

She [topic-は] him [to-に] funds [object-を] gather [in-order-to-ように] requested.

依頼する ('formally request, commission') is the formal cousin of 頼む — used for business commissions, professional requests, formal asks. Common in 仕事を依頼する ('commission a job'), 弁護士に依頼する ('engage a lawyer'). Combined with the ~ように indirect-report frame, gives the formal sentence its distinctive register.