I do not know the telephone number, but you have a very good chance on this page of finding your answers.
http://www.embassypages.com/
Andy of HoboTraveler.com in Katmandu, Nepal Asia
January 2007
YOU WROTE:
Name: Ismat xxx
Location: Sharjah - Sharjah - United Arab Emirates
Subject: Lithuania Embassy in UAE
Pls inform if Lithuania has an Embassy or Consulate in the UAE. If so,
could you please forward their Telephone no. and website address in UAE
for visa purposes. Tks - syam