Kammala jumla mai zuwa: Shekaru da yawa, Baginskaite ta taka leda a teburin farko na Lithuania a gasar Olympics ta mata a 1994 da 1996. Daga nan sai ta canza zuwa wakiltar ƙungiyar Amurka a kan kwamiti na farko a shekara ta 2000 kuma a cikin
2002, an buga shi a tebur na biyu. A shekara ta 2006, tana cikin kwamitin ajiya.