The Lashkar's agenda, as outlined in a pamphlet titled "Why are we waging jihad", includes the restoration of Islamic rule over all parts of South Asia, Russia and even China. Further,the outfit is based on a sort of Islamist fundamentalism preached by its mentor, the JuD. It seeks to bring about a union of all Muslim majority regions in countries that surround Pakistan.
The outfit had claimed that it had assisted the Taliban militia and Osama bin Laden's Al-Qaeda network in Afghanistan during November and December 2002 in their fight against the US-aided Northern Alliance.
Role in Afghanistan
Guantanamo detainee Khalid Bin Abdullah Mishal Thamer Al Hameydani's Combatant Status Review Tribunal said that he had received training at Lashkar e-Taiba.
The Combatant Status Review Tribunals of Taj Mohammed and Rafiq Bin Bashir Bin Jalud Al Hami, and the Administrative Review Board hearing of Abdullah Mujahid and Zia Ul Shah allege that they too were members or former members of Lashkar-e-Taiba.
Also, the Lashkar is claimed to have operated a military camp in post-Sept 11 Afghanistan, and extending support to the ousted Taliban regime.
http://www.reference.com/browse/Lashkar-e-Taiba