prigovarati

1. (+ dat.) to reproach; to nag
   Majka mi stalno prigovara što kasno dolazim. — My mum keeps nagging me for coming home late.
   Prestani da mu prigovaraš zbog svake sitnice. — Stop reproaching him over every little thing.
2. to object; to complain
   Niko nije prigovarao novoj odluci. — Nobody objected to the new decision.

The person is in the dative, the reason follows što or zbog (+ gen.); the perfective is prigovoriti.