Nineteen of Medvedev's 21 titles have been won on hard surfaces
A resurgent the Russian player secured his first trophy for over two years with a win over opponent Moutet in the competition final.
The athlete, a former world number one, has endured a difficult period, achieving just a single victory at the big events and suffering a meltdown at the New York tournament.
Medvedev's unpredictability on the ATP Tour - and difficulties with his serving in especial - caused him exiting of the top ten and finally parting ways with long-time coach Gilles Cervara.
Now collaborating with Johansson and Rohan Goetzke, he has consistently improved in the last few weeks - climaxing in a closely contested 7-5 4-6 6-3 victory over challenger Moutet.
It is the player's maiden championship since the 2023 Rome Masters and first on a hardcourt after March of the previous year.
The win also means Medvedev has achieved 21 titles at twenty-one different events.
"For the first time I'm at a tournament with my both daughters simultaneously, so to win a championship is especially meaningful," said tennis professional the champion.
"This championship is in dedication of my second daughter her name, because the maiden victory I achieved when my first daughter her name was born was for her."
The athlete, the 2021 US Open champion, had failed in his last six title deciders, comprising in Halle earlier this year.
Medvedev's retrieving strategy and frequent emotional displays on the playing surface had caused observers to wonder if his skill to compete at the elite level was finished.
Yet the 29-year-old has implemented adjustments in recent weeks, attempting to come to the net and perform aggressively, supported by an better serve.
The champion fought back from a deficit in the first set against the difficult Moutet, securing 4 of the concluding five exchanges to go ahead.
The pair swapped break points in the following set before Moutet, attempting for his maiden ATP Tour title, gained dominance to force a third set.
The opponent defended 4 early break points in a close deciding set before the champion secured a break to fifteen to secure the win.
Fittingly, he secured victory with a shot at the net area, with his opponent incapable to handle a return after two hours and 38 minutes.
