Number three Burns, who came to the wicket after Aaron Finch fell to the first ball of the match in Hobart, anchored the hosts' innings with 114 as they made 315 for seven in their 50 overs.
Despite 79 from captain James Taylor, the Lions never came close to reaching their hefty target and were bowled out for 193 with 8.3 overs remaining as Australia A took a commanding 2-0 lead in the five-match series.
Stuart Meaker made a dream start with the new ball for England as home captain Finch was caught by Varun Chopra first up, but Burns put on 78 with Alex Doolan (31) and 128 with Callum Ferguson, who made 74.
Burns became Rikki Clarke's first victim in creditable figures of four for 55 but 89 runs off the last seven overs meant the tourists were still left facing a daunting chase.
They lost Alex Hales with 16 on the board and though Chopra (38) and Taylor put on 71 for the second wicket, the target was always beyond them.
Gary Ballance chipped in with 23 in a stand of 52 with Taylor but the next best score was 10 as a procession of wickets, shared out between five bowlers, left England well short. The last seven wickets fell for 50 and the last three without a run being added.
The result leaves the Lions needing to win the three remaining matches, at the same venue on Friday and then in Sydney on Monday and Friday of next week, if they are to turn the series around.
- Sports & Recreation
- Aaron Finch
- James Taylor
- Varun Chopra