Both teams would be going into the match with a must-win scenario.
Rossouw was stranded on 44 runs from 46 deliveries.
Rajshahi lost both their matches against Dhaka last season.
In the 2016 edition of the U19 World Cup, Bangladesh reached the semifinals under the captaincy of Mehidy.
Shakib now trails number-one ranked all-rounder Rashid Khan of Afghanistan by just one point.
The Windies were beaten black and blue in the Test series.
Mehidy Hasan attained his career-best rating following a 12-wicket haul.
Mehidy Hasan picked up 12 wickets in the match.
The Tigers are currently playing a two-match Test series against Windies.
Imrul Kayes was the star of the Bangladeshi innings, who registered arguably the best knock of his International career.