This is the story of "Shinemon Nitta", the future manager of Card Capital.
10 years before the reunion of Aichi Sendou and Toshiki Kai, the card shop run by the Tokura family "Card Capital" was going out of business. Then came the attempt to take over the store by Esuka Hibino, the owner of a major card shop.
In order to protect Card Capital, Shinemon Nitta stands up as the "Self-proclaimed Manager!"
(Source: Cardfight!! Vanguard Wiki)
The anime centers on Hiiro Ryuugasaki, a student at Tensei Academy. Through a strange incident, Hiiro obtains a mysterious smartphone. The smartphone has installed the popular digital card game "Shadowverse." Through the game Hiiro meets rivals, participates in tournaments, and forms bonds with others.