Kyrgios launched a dozen aces on the way to a 6-4, 6-3 win over his Japanese opponent to claim his first singles title since winning the same hardcourt tournament in 2019.
The 23-year-old asking the federation to instead invest the money in promoting tennis at the grassroots-level in the country.
The Serb beat the Australian in four sets, 4-6 6-3 6-4 7-6(3), to emerge the champion.
The big-serving 23-year-old, who was born in Moscow and reportedly still lives there, switched allegiance to Kazakhstan four years ago to gain more financial support.
The Kazakh claimed her maiden Grand Slam title with a 3-6, 6-2, 6-2 win over the Tunisian.
The top seed overwhelmed Britain's Cameron Norrie 2-6 6-3 6-2 6-4 in the second semifinal.
The Spaniard was injured during the quarterfinal match against Taylor Fritz.
Rybakina, the first Kazakh to enter a Grand Slam final, upset Simona Halep in the second semifinal.
Sania had earlier announced that she would hang up her racquet at the end of this season.
The Spaniard had appeared close to retiring mid-match with an abdominal injury.