19 of Medvedev's 21 victories have been won on hardcourt
A resurgent Medvedev secured his maiden title for 882 days with a win over Frenchman Moutet in the tournament championship match.
The athlete, a former number one, has endured a torrid period, winning just a single victory at the major tournaments and suffering a difficult moment at the US Open.
The player's varied form on the tennis tour - and difficulties with his serving in specific - led to him exiting of the world's top 10 and finally splitting with long-time coach his previous coach.
Currently collaborating with Johansson and Rohan Goetzke, the tennis star has consistently advanced in the past month - culminating in a tightly fought 7-5 4-6 6-3 win over opponent Moutet.
This represents his first trophy after the 2023 Rome Masters and maiden on a hardcourt after that period of that year.
Victory also means the Russian has won 21 titles at 21 distinct competitions.
"For the first time I have attended a competition with my children simultaneously, so to get a title is especially meaningful," commented tennis professional the champion.
"This victory is in dedication of my second daughter her name, because the initial championship I achieved when my first daughter my daughter was delivered was for her."
The athlete, the 2021 US Open champion, had failed in his last six finals, featuring in Halle in the past months.
Medvedev's counter-punching strategy and frequent emotional displays on the playing surface had prompted commentators to question if his skill to perform at the top level was over.
But the player has altered his approach in the past month, making an effort to come to the net and perform assertively, supported by an better service.
He fought back from a break down in the first set against the difficult opponent, taking four of the final five exchanges to go ahead.
The pair swapped service breaks in the following set before the challenger, bidding for his first professional victory, seized the initiative to force a third set.
He saved four early-game chances in a competitive third set before the champion won the break to fifteen to secure the win.
Appropriately, the winner earned the win with a rally at the front of the court, with his opponent unable to manage a volley after two hours and 38 minutes.