She is a twice European Women's Champion and won two team gold medals at the Women's Chess Olympiad, in 2006 and 2014, playing for Ukraine and Russia respectively. She also won team gold at the Women's World Team Championship in 2013 playing for the Ukrainian team and in 2017 playing for Russian team. Lagno won the Women's European Team Championship in 2013, 2015, 2017, 2019, playing for the Ukrainian team in 2013 and for the Russian team in all following championships. Lagno was the Women's Vice World Champion in 2018, Women's World Rapid Champion in 2014 and Women's World Blitz Champion in 2010, 2018 and 2019.