initiate into (something)
1. To formally install or inaugurate someone into a particular office, group, or role. A noun or pronoun can be used between "induct" and "into." When will we be initiated into the honor society? I can't believe you really want to be initiated into a frat.
2. To familiarize someone with the tasks associated with a particular job or role. Yep, Tina has been initiating me into the tasks that I'll have to do while she's out on maternity leave.
initiate someone into something
1. to induct someone into an organization or activity, usually in a ceremony. They will initiate me into the fraternity next week. They initiated all their new members into the club at once.
2. to introduce someone to the activities associated with a job or other situation. The personnel department will initiate you into our office routines. Our procedures are complicated and it takes weeks to initiate a new employee into all our procedures.