Mr Rayne said their disappearance was not suspicious but police had real concerns for their wellbeing.
A neighbour said she had not seen or heard anything unusual before police showed up on Thursday night.
The mother and daughter were believed to have driven somewhere in a grey Fiat Tipo hatchback with the personalised licence plate ZIDICH.
Police were conducting searches and talking to people the women had been in contact with before their disappearance.
They were also running background checks and checking phone and bank account records.
Police have asked anyone who had seen the car or knew of the women's whereabouts to contact Papanui Police on 03 3741729.