Rogers, who had an unconvincing start to the series, has found his best form and on Sunday he frequently punctured the England field with fluent cover drivers, until he spooned a catch back to debutant spinner Scott Borthwick when on 119 off 169 balls, with 15 boundaries.
The 36-year-old Rogers, who scored a match winning 116 in Melbourne last week, is Australia's leading run scorer across the 10 Ashes tests staged since mid-2013, with 844 runs and three centuries.
"I don't think life gets any better than this," said Rogers. "It's been an unbelievable month. To finish like this ..."
"I found a bit of form in these last few games and thankfully have been able to cash in."