The New Zealander will compete in the colours of the Yorkshire-based outfit at the North West 200, Isle of Man TT and the Ulster Grand Prix.
Anstey enjoyed a long and successful partnership with the Relentless TAS Suzuki team, but the Moneymore team chose not to retain his services.
The Kiwi set a new lap record of 133.97mph at the Ulster Grand Prix.
The course record lap helped Anstey to victory in the second Superbike race at Dundrod in August, after an indifferent season by his own high standards.
The 41-year-old is a seven-time TT winner, his most recent victory on the Isle of Man having come in 2008's second Supersport race.
Ian Hutchinson won all five solo Superbike races on Padgett's machinery at this year's TT.