Anđušić joined Hemofarmyouth academy at the age of 15. In 2009, Anđušić signed his first professional contract with Hemofarm, but was immediately loaned to Mega Vizura for the 2009–10 season. In March 2010, after the end of the Basketball League of Serbia first phase, Anđušić returned to Hemofarm. On 16 June 2010, in the second game of the playoff final, Anđušić was involved in the brawl against Partizan. In the 2010–11 season, he also played for Hemofarm. In September 2011, Anđušić officially moved to Partizan, signing a four-year contract. In December 2012, Anđušić requested contract termination from the team, unsatisfied with the playing role and little playing time over the season. On 28 December 2012, Anđušić and Partizan agreed to part ways. On February 13, 2013, he signed a four-year deal with Virtus Bologna. In October 2013, he was loaned to CB Valladolid for the 2013–14 season. In August 2014, he signed a two-year deal with Bilbao Basket. In July 2015, he parted ways with Bilbao. On October 14, 2015, Anđušić signed with Partizan until January, returning to the club for a second stint. He also has an option to extend until the end of the season. Following the expiration of his contract, on December 30, 2015, he parted ways with the club. On January 5, 2016, he signed with the Polish clubAnwil Włocławek for the rest of the season. On September 17, 2016, Anđušić signed a one-year deal with the Russian team Parma Basket. He appeared in 15 games of the 2016–17 VTB United League season with Parma, averaging 19.8 points, 3.8 rebounds and 3.7 assists. On February 7, 2017, he left Parma and signed a deal with UNICS Kazan until the end of 2017–18 season. In 6 games he played with UNICS in the VTB United League until the end of the season he averaged 6.3 points and 1.5 assists, while in the 2016–17 EuroLeague, he appeared in 8 games, averaging 5 points, 1.4 rebounds and 1 assist per game. In 2017–18 season, his role in UNICS dropped as he made only 5 appearances in the 2017–18 VTB United League season and averaged only 2.2 points per game. In November 2018, Anđušić a contract with the Bosnian team Igokea. Over 15 ABA League games, he averaged 11.3 points, 2.5 rebounds and 1.8 assists, while shooting 39.4% from the field. On September 25, 2019, he signed a contract with the French team JL Bourg of LNB Pro A. On September 29, he debuted for the team and scored 31 points in win over Élan Béarnais.
