Nineteen of Medvedev's 21 titles have been achieved on hard surfaces
A resurgent the Russian player claimed his maiden championship for nearly 30 months with success over Frenchman Moutet in the tournament title decider.
Medvedev, a former world number one, has had a difficult period, managing just one match at the big events and suffering a meltdown at the New York tournament.
The player's unpredictability on the tennis tour - and struggles with his service game in particular - caused him exiting of the world's top 10 and finally parting ways with long-time coach his previous coach.
Presently working with Thomas Johansson and Goetzke, Medvedev has consistently improved in the recent weeks - climaxing in a tightly fought three-set triumph over opponent Corentin Moutet.
This marks his first title following the Italian tournament and maiden on a hardcourt from March of the previous year.
Success also indicates the Russian has secured twenty-one victories at 21 various events.
"It's the first time I am participating in a tournament with my both daughters at once, so to win a title is really nice," said ranked player Daniil Medvedev.
"This championship is in honour of my younger daughter my daughter, because the maiden victory I won when my first daughter Alisa was born was for her."
The athlete, the 2021 US Open champion, had been defeated in his last six finals, featuring in Halle previously this season.
His counter-punching approach and regular outbursts on court had led commentators to question if his skill to compete at the highest level was over.
But the player has implemented adjustments in the past month, making an effort to come to the net and perform aggressively, backed up by an better service.
The champion recovered from a break down in the first set against the difficult opponent, taking four of the final five exchanges to take the lead.
The competitors exchanged break points in the following set before Moutet, attempting for his initial ATP Tour championship, seized the initiative to force a decider.
He saved 4 initial break points in a tight deciding set before the Russian won the break to 15 to close out the victory.
Suitably, he earned the title with a point at the net area, with the Frenchman failing to handle a return after over two and a half hours.