Jefferson gives a long list of “facts [to] be submitted to a candid world.” give a short explanation of how this list jefferson achieve his purpose of justifying a revolution.

The facts that Jefferson present in this sense are appeals to human reason. Jefferson wants to show that it is a natural fact that humans should be free from tyrannical governments.

In the Declaration of Independence, Thomas Jefferson used his list of "facts to be submitted to a candid world" to demonstrate that the British king had been seeking to establish "an absolute Tyranny over these States" (the colonial states which were declaring their independence).  Revolution was justified if it could be shown that the British government was acting in tyrannical ways toward the colonies.

Jefferson's list included items such as:
... The king refused to assent to laws that were wholesome and necessary for the public good.
... The king had forbidden colonial governors to enact laws or implement laws without his assent (which, as the prior point noted, he was in no hurry to give).
... The king forced people to give up their rights to legislative assembly or forced legislative bodies to meet in difficult places that imposed hardships on them.
... The king dissolved legislative assemblies and then refused for a long time to have other assemblies elected.
... The king obstructed justice in the colonies and made judges dependent on his will alone for their salaries and their tenure in office.
... The king kept standing armies in place in the colonies in peacetime, without the consent of the colonial legislatures.
... The king imposed taxes without the colonists' consent.

There were more items listed by Jefferson, but you get the idea.  He was justifying revolution by proving tyranny was standard operating procedure by the British monarchy.