New Zealand won the final T20I against Bangladesh by a convincing 27 runs in Dhaka on Friday, even as the hosts took the series 3-2.
Bangladesh hold nerves to seal their first-ever T20I series victory against New Zealand.
The series now stands at 2-1 in favour of the hosts with two matches left to go.
Latham unbeaten 65 went in vain as Bangladesh held their nerve in a last-over thriller to secure a four-run win in the second T20I.
New Zealand were bowled out for 60 as Bangladesh won the series opener in Dhaka by seven wickets.
Taylor, De Grandhomme left out of T20 World Cup squad, NZ name 32-man group for Asian expedition.
New Zealand are set to tour Pakistan for a limited-overs series in September and October, visiting for the first time since 2003.