Rubuta ci gaba don wannan sakin layi - Shekaru da yawa, Baginskaite ta taka leda a kan jirgin 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 2000
kuma a shekara ta 2002, ya taka leda a tebur na biyu. A shekara ta 2006, tana cikin kwamitin ajiya.