Nineteen of Medvedev's 21 victories have been earned on hard courts
A revitalized the Russian player claimed his first trophy for 882 days with a win over opponent Moutet in the tournament championship match.
The athlete, a ex- number one, has endured a difficult period, winning just one match at the Grand Slams and suffering a difficult moment at the American major.
His inconsistency on the ATP Tour - and difficulties with his serving in particular - resulted in him dropping out of the elite rankings and ultimately separating with former trainer Gilles Cervara.
Presently working with Johansson and his other coach, the tennis star has steadily progressed in the past month - peaking in a tightly fought 7-5 4-6 6-3 victory over challenger Moutet.
This marks his initial title after the 2023 Rome Masters and first on a hard surface after spring of the previous year.
Victory also indicates Medvedev has achieved twenty-one victories at twenty-one different events.
"This marks the first occasion I am participating in a event with my two daughters at once, so to secure a trophy is particularly special," commented tennis professional Medvedev.
"This victory is in honour of my younger daughter my daughter, because the initial championship I won when my first daughter my daughter was born was for her."
The tennis star, the 2021 US Open champion, had been defeated in his previous six finals, comprising in Halle previously this season.
His retrieving strategy and frequent emotional displays on court had caused some to wonder if his ability to play at the top level was over.
But the athlete has altered his approach in the last few weeks, making an effort to come to the net and play assertively, reinforced by an enhanced serving game.
He came back from a deficit in the opening set against the tricky Frenchman, taking 4 of the concluding five games to go ahead.
Both players exchanged breaks in the following set before Moutet, striving for his first professional title, gained dominance to force a third set.
He defended 4 early-game break points in a close deciding set before Medvedev secured a break to 15 to serve for the match.
Fittingly, Medvedev secured the win with a rally at the net area, with the Frenchman incapable to control a shot after over two and a half hours.