Moise's political party and its allies took the majority of parliament following last weekend's partial legislative elections.
The yesterday's results finally give Haiti a full parliament after an electoral marathon that has lasted for well over a year, just in time for Moise's swearing-in on Tuesday.
The incoming leader's Tet Kale (PHTK) party took four of the eight senatorial seats at stake in the January 29 vote, with party allies notching three wins. The results are preliminary however, and any candidate can legally challenge them in court.
The PHTK candidate, Fednel Monchery, came out on top during the first round of that battle, but ultimately lost to Patrice Dumont, a popular former sports journalist.
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Monchery on Twitter thanked the Provisional Electoral Council, which is responsible for ensuring fraud does not mar balloting.
"Their impartiality and the publication of their tally sheets have shown these people are serious," he wrote in Creole.
The election marked the fourth day of voting over the past year-and-a-half in Haiti, where a political crisis was triggered when the results of an October 2015 presidential election had to be annulled due to massive fraud.
Civic malaise believed to be linked to a lack of political campaigning and distrust in elected officials' ability to improve conditions in the poorest country in the Americas.