The Answer:
The sport league match that was launched in India after kabaddi and football recently is Kho-Kho.

Explanation:
Kho-Kho is an ancient Indian sport that has gained popularity over the years. It is a traditional tag sport played by two teams, with each team consisting of 12 players. The objective of the game is for the chasing team to tag as many players of the opposing team as possible within a given time limit.

Introduction to Kho-Kho League:
To promote the sport and provide a platform for professional players, a Kho-Kho league was recently launched in India. The Kho-Kho league aims to popularize the sport and showcase the talent of Kho-Kho players from across the country.

Objective of the Kho-Kho League:
The Kho-Kho league has several objectives, including:

1. Promoting the sport: By organizing a professional league, the Kho-Kho league aims to create awareness about the sport and attract a larger audience.

2. Providing opportunities: The league provides a platform for talented Kho-Kho players to showcase their skills and gain recognition. It offers them the opportunity to compete at a professional level and potentially earn a livelihood from the sport.

3. Encouraging youth participation: The league aims to inspire youngsters to take up Kho-Kho and pursue it as a career. By providing role models and a competitive environment, it encourages youth participation in the sport.

4. Boosting infrastructure: The Kho-Kho league also aims to improve the infrastructure for the sport in India. By investing in training facilities, coaching programs, and venues, it aims to create a sustainable ecosystem for Kho-Kho.

Impact of the Kho-Kho League:
The launch of the Kho-Kho league is expected to have a significant impact on the sport and its popularity. Some potential impacts include:

1. Increased viewership: The league is likely to attract a larger audience, both in stadiums and through television broadcasts. This increased viewership can help generate more interest in Kho-Kho and attract sponsors, leading to further growth of the sport.

2. Professional opportunities: The league provides professional opportunities for Kho-Kho players, potentially leading to more players taking up the sport seriously and pursuing it as a career.

3. Improved infrastructure: As the league invests in infrastructure, it will lead to better training facilities and coaching programs for Kho-Kho players. This will help in the overall development of the sport and improve the quality of players.

4. National and international recognition: The Kho-Kho league can help in gaining national and international recognition for the sport. It can pave the way for Indian Kho-Kho players to participate in international tournaments and represent the country at a global level.

In conclusion, the launch of the Kho-Kho league in India after kabaddi and football aims to promote the sport, provide professional opportunities for players, encourage youth participation, and boost infrastructure. This move is expected to have a positive impact on the popularity and development of Kho-Kho in the country.