Nineteen of the Russian's 21 victories have been won on hardcourt
A comeback Medvedev claimed his initial title for nearly 30 months with success over Frenchman Moutet in the tournament championship match.
The athlete, a ex- top-ranked player, has endured a torrid period, winning just one win at the big events and suffering a setback at the New York tournament.
Medvedev's inconsistency on the tennis tour - and difficulties with his service game in specific - resulted in him dropping out of the elite rankings and finally splitting with long-time mentor Cervara.
Now collaborating with Johansson and Rohan Goetzke, Medvedev has consistently advanced in the last few weeks - culminating in a hard-fought competitive victory over Frenchman Moutet.
This represents Medvedev's first championship following the Italian tournament and maiden on a hardcourt after that period of the previous year.
Success also means the Russian has achieved 21 titles at twenty-one distinct competitions.
"It's the first time I have attended a event with my children at once, so to secure a title is really nice," stated world number 14 Medvedev.
"This championship is in dedication of my younger daughter Victoria, because the initial championship I won when my older daughter my daughter was born was for her."
The tennis star, the former major winner, had failed in his last six finals, featuring in Halle previously this season.
Medvedev's counter-punching approach and regular outbursts on the playing surface had caused some to doubt if his capacity to play at the highest level was concluded.
Yet the athlete has implemented adjustments in the last few weeks, attempting to advance forward and compete assertively, backed up by an enhanced serve.
He recovered from a disadvantage in the initial set against the tricky Frenchman, taking 4 of the final five exchanges to gain the advantage.
Both players exchanged service breaks in the following set before the Frenchman, bidding for his initial ATP Tour victory, seized the initiative to push for a third set.
Moutet saved four initial break points in a tight final set before Medvedev won the break to that score to secure the win.
Appropriately, the winner earned the win with a shot at the front of the court, with the Frenchman unable to control a volley after two hours and 38 minutes.
