Sawant and Rajput combined for a score of 581 in qualification part two with 28 inner 10s, one less than fourth-placed Hungarian team of Eszter Meszaros and Istvan Pen.
Sarnobat's gold is India's first in the ongoing edition after the country secured one silver and two bronze medals earlier in the tournament.
Manu Bhaker and Saurabh Chaudhary ended with a silver medal in 10m Air Pistol Mixed Team Event at the ISSF World Cup in Croatia.
The Indian troika of Manu Bhaker, Yashaswini Singh Deswal and Rahi Sarnobat claimed the bronze medal in the 10m air pistol women's team event.
Tomar, Kumar and Panwar lost 14-16 to the Serbian team of Milenko Sebic, Milutin Stefanovic and Lazar Kovacevic in the third-place match.
The 19-year-old Saurabh scored 220 in the final after qualifying with a score of 581.
It was a modest start from Indian shooters in the ISSF World Cup in Croatia.
The 20-year-old Aishwary, who finished with a score of 628 in the qualification round, shot a total of 143.9 before being eliminated from the final of the men's 10m air rifle event.
The tournament was to take place from June 21-July 2 and would have served as good preparatory ground for all shooters who have qualified for the Tokyo Olympics.
Indian shooters have secured an unprecedented 15 Olympic quota places for the country but, as per the federation's selection policy, the final team will be picked taking into the account the scores in all tournaments and trials leading up to the Games.
The visitors led 2-0 at the start before the Indians came back to level the scores. The Kazakhstan team again went ahead only for the home shooters to rally one more time and make it 4-4.
The Indian trio of Shreyasi Singh, Rajeshwari Kumari and Manisha Keer claimed the gold medal in the women's trap team final after blanking Kazakhstan 6-0.
The USA's Keith Sanderson, Jack Hobson Leverett III, and Henry Turner Leverett won the gold medal with a 10-2 victory over the home team on the last competition day.
In an all-Indian gold medal match, they comfortably beat the combo of Gurpreet Singh and Ashok Abhidnya Patil 9-1 at the Dr Karni Singh Shooting Range.
Kumar, Kusale and Singh led through the final to easily claim the top prize ahead of the American team of Nickolaus Mowrer, Timothy Sherry and Patrick Sunderman.
2nd ODI: India win toss, opt to bat against England in Pune The other Indian shooters in the final, Anish Bhanwala and Gurpreet Singh occupied the fifth and sixth places.
Gorsa was one of the two foreign shooters who tested positive for COVID-19 on the eve of the ISSF World Cup in New Delhi.
India's duo of Tejaswini Sawant and Sanjeev Rajput won the gold medal in the 50m rifle 3 positions mixed team event.
The Hungarian team for the particular event has been disqualified from the tournament due to "unsporting behaviour".
India's terrific trio of Chinky Yadav, Manu Bhaker and Rahi Sarnobat claimed the team gold medal in the women's 25m pistol event.
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