Bangladesh fall 17 short, the spinners took all the 10 wickets to fall in the second innings.
Visitors, 1-0 up in the two-Test series, are 154 runs in front with seven second-innings wickets left
Bangladesh were 105 for 4 in reply West Indies 409 at stumps on second day, trail by 304 runs.
Nkrumah Bonner hits an unbeaten half-century on the opening day of the second Test against Bangladesh to help West Indies recover from the blows on Thursday.
Debutant Kyle Mayers score double ton helps visitors take 1-0 lead.
West Indies were 110 for 3 at stumps on day four, need 285 more for victory.
Visitors lost 5 for 6 in a lower-order collapse, before Bangladesh ended the day with a lead of 218.
Mehidy Hasan Miraz added crucial runs with the tail after Bangladesh were 134 for 4 at one stage.
Bangladesh fight back in final session after Jomel Warrican three-for puts West Indies in front.
Bangladesh call up new faces for 2-match Test series against West Indies which starts from Wednesday.