Rutherford, playing in his 10th ODI, slammed seven fours and eight sixes in his 80-ball innings of 113 which ended with West Indies just seven runs short of completing the highest ever run chase on the ground.
Livingstone's blistering innings outshone a century earlier in the day scored by opposition skipper Shai Hope.
England were bowled out for 132 in the decider and while West Indies never got into their rhythm, Hope held their reply together and then won the game with a powerful six over extra-cover off the second ball of the final over.
West Indies ODI skipper Shai Hope credited a chat he had with former India captain MS Dhoni after leading the Caribbeans to a thrilling four-wicket over England with his fastest ODI ton in the first of the three-match series in Antigua on Sunday.
West Indies captain Shai Hope played the sheet anchor role to perfection in taking his team to a series-levelling six-wicket victory over India in the second One-Day International of a three-match series at Kensington Oval in Barbados on Saturday.
South Africa captain Temba Bavuma struck a career best 144 from 118 balls in the home side's reply, but they were bowled out for 287 in 41.4 overs in their attempt to keep up with the required run rate
Nicholas Pooran, who had captained both white-ball teams, stepped down in November after West Indies' first-round exit from the T20 World Cup in Australia.
Rutherford, playing in his 10th ODI, slammed seven fours and eight sixes in his 80-ball innings of 113 which ended with West Indies just seven runs short of completing the highest ever run chase on the ground.
Livingstone's blistering innings outshone a century earlier in the day scored by opposition skipper Shai Hope.
England were bowled out for 132 in the decider and while West Indies never got into their rhythm, Hope held their reply together and then won the game with a powerful six over extra-cover off the second ball of the final over.
West Indies ODI skipper Shai Hope credited a chat he had with former India captain MS Dhoni after leading the Caribbeans to a thrilling four-wicket over England with his fastest ODI ton in the first of the three-match series in Antigua on Sunday.
West Indies captain Shai Hope played the sheet anchor role to perfection in taking his team to a series-levelling six-wicket victory over India in the second One-Day International of a three-match series at Kensington Oval in Barbados on Saturday.
South Africa captain Temba Bavuma struck a career best 144 from 118 balls in the home side's reply, but they were bowled out for 287 in 41.4 overs in their attempt to keep up with the required run rate
Nicholas Pooran, who had captained both white-ball teams, stepped down in November after West Indies' first-round exit from the T20 World Cup in Australia.