Goal rush continued on the second day of the league with 19 goals scored in two matches.
Ayush Adhikari scored Kerala Blasters' consolation goal from the penalty spot.
Bengaluru FC went down 3-6 to Leicester City's youth team in the Midlands leg.
The Next Generation Cup is part of the longstanding partnership between Premier League and Football Sports Development Limited to support the development of the game in India.
The squad will compete in the upcoming Kerala Women's League organised by the Kerala Football Association.
Luna has extended the contract for 2 more years. He will remain with the club till 2024, with the option to extend for another year. Luna was one of the stars of last season with 6 goals and 7 assists to his name.
The ISL side will travel to the United Arab Emirates by mid-August.
Kaliuzhnyi becomes Blasters' third foreign signing of the summer after striker Apostolos Giannou and defender Victor Mongil.
The 29-year-old joins the Blasters from Odisha FC, whom he captained last season.
The 32-year-old becomes their first foreign recruitment of the season.