I think bus #355 will take you to Anushaktinagar. You can board the bus at KURLA S.T.DEPOT.
By train, from Mulund board train going towards CSTM and get down at Kurla. From Kurla change to harbour line and board trains going towards Vashi/Panvel and get down at Mankhurd. Direct ticket will be issued to Mankhurd from Mulund via Kurla.