The left-handed Ayub and Salman (82 not out) shared a fifth wicket partnership of 141, rescuing Pakistan from 60 for four.
Bangladesh need 236 runs to win.
The matches will be held from Sept. 18-22 in the Sharjah Cricket Stadium and will follow Afghanistan's one-off test match against New Zealand, which has been scheduled for Sept. 9-13 in Greater Noida, India.
Smith finished unbeaten on 79 off 79 balls and Green was 77 not out as Australia cruised to the winning target of 232 with 11.3 overs to spare
Even though in-form Soumya Sarkar had to walk off following some sort of trouble in his right eye, Bangladesh got off to a decent start in their chase of a meagre 99 in their third and final ODI against New Zealand in Napier on Saturday.
He will miss the final matches of the series in Nelson on Wednesday and Napier on Saturday but should be available for the T20 series starting on Dec. 27 in Napier.
Bangladesh captain Najmul Hossain Shanto said the result was "very disappointing" after pacer Shoriful Islam's early fireworks.
"This is a dream come true," said an overwhelmed Forde, who was named Man of the Match, in reflecting on his contribution.
Curran was spanked for 98 runs off 9.5 overs on Sunday as England slumped to a four-wicket defeat in the series opener -- the worst ever performance by an England bowler in ODI cricket.
Former India captain Kapil Dev has called on cricket's governing body (ICC) to take steps to protect the Test and one-day international formats amid the global growth of lucrative domestic Twenty20 competitions.
Before the ongoing Zimbabwe tour, Bangladesh were flying high in the ODI format, with series wins away to South Africa and West Indies. But suddenly, after two successive defeats against a side ranked eight places below in space of just three days, the Tigers now seem to be in a disarray in their most preferred format.
Bangladesh captain Tamim Iqbal did not hesitate to admit that Zimbabwe won the three-match ODI with one match in hand on Sunday as the better team.
Bangladesh Cricket Board’s (BCB) cricket operations chairman said that they feel globally T20 is gaining more ground and becoming more important than ODI format. Jalal said the BCB are keen to take T20Is seriously going forward.
England all-rounder Moeen Ali has warned that other players could follow teammate Ben Stokes in quitting one-day internationals and that the format could become completely obsolete if nothing is done to fix the game's hectic calendar.
Bangladesh ODI skipper Tamim Iqbal urged the young players in the squad to capitalise on the chances when they take on hosts Zimbabwe in the three-match ODI series, starting at the Harare Sports Club on Friday from 1:15pm (BST).
Pakistan have dropped seamer Hasan Ali and replaced him with teenage fast bowler Naseem Shah in their Twenty20 squad for the Asia Cup, which begins in Dubai on August 27.
Australian fast bowling great Glenn McGrath is still in love with the 50-over format but has no hesitation in admitting that it does face a daunting challenge with the exponential popularity of T20 cricket.
The governing International Cricket Council (ICC) played down threats to the game's 50-overs format on Wednesday and said a "healthy" number of one-day internationals will be played in the 2023-27 cycle.
Ben Stokes said on Tuesday he hopes his retirement from one-day internationals will serve as a warning to cricket chiefs over an increasingly congested global schedule, with the all-rounder insisting players "are not cars, you can't just fill us up".