The mayor for the Sheffield City Region calls it the "responsible route" to stem the spread of Covid-19.
Local leaders requested £90m but lowered their demand to £65m during talks to move into tier three.
Restrictions targeted chiefly at bars and restaurants in the central belt will continue until November.
They were ordered to close when the area was placed into tier three of the coronavirus restrictions.
Officers failed to recover CCTV or take statements from the three female victims, BBC Newsnight found.