Chris Morris claimed two wickets as South Africa strangled Australia to a 21-run victory in their rain-reduced T20I on the Gold Coast on Saturday.
David Miller and Faf du Plessis scores centuries helps Proteas 40-run win in third ODI, claim series 2-1.
Hosts snap seven-match ODI losing streak with narrow win at Adelaide, level series 1-1.
All-rounder Mitchell Marsh also left out of Twenty20 squad announced on Thursday to play South Africa and India.
Ruthless South Africa draw first blood with a six-wicket hammering of Australia at Perth Stadium on Sunday.
Australia has named Finch as the new captain of the ODI side, dropping Paine from the squad to play against South Africa next month.
Chris Morris and Farhaan Behardien has been recalled to South Africa tour of Australia, which begins on 4 November.
India, South Africa and Sri Lanka to tour for a total of 16 international matches.
