Follows. "The god who gave us life, gave us liberty at the same time: the hand of force may destroy, but cannot disjoin them." - Thomas Jefferson what enlightenment does he mean by this?

The enlightenment that Thomas Jefferson meant by this is natural rights.

To add, the principal author of the Declaration of Independence and an American Founding Father, Thomas Jefferson served as the third President of the United States from 1801 to 1809.