Aakarshi started playing badminton in 2009 under Coach Sanjay Mishra at Ravi Shankar Stadium in Durg.

On 28 April 2016, Kashyap won the twin crowns in the U-15 and U-17 girls' single category at the PNB MetLife Junior Badminton Championship Season 2 National Finals.

Kashyap claimed twin crowns in the U-17 and U-19 girls' singles in the 25th Krishna Khaitan Memorial All India Junior Ranking Badminton Tournament organized by Express Shuttle Club on October 16, 2016.

[5] Also in 2016, Kashyap was selected to represent India in the Badminton Asia U-15 and U-17 junior championships, held at Kudus, Indonesia, where she bagged a bronze medal.

In November 2017 Kashyap lost against London Games bronze medallist Saina Nehwal in the senior National Badminton Championship.

The ace shuttler from Chhattisgarh won the title in the women's singles category at Kenya International 2020, which is the BWF Future Series event.