Easy. It came from commies trying to infiltrate and subvert the Church. Because they know the Church is their only real enemy in this world.
Fortunately, its been condemned, and no committed Catholic falls for "Liberation Theology," only those "c"atholics looking for political cover for their heterodox progressive beliefs.
Actually, the funny thing is that “liberation theology” is the Catholic name for “the social gospel,” a thoroughly Protestant movement which dominates mainline Protestantism to this day, but was wholly crushed by Pope John Paul II and then-Grand Inquisitor (to use a colorful anachronistic title) Ratzinger.
The social gospel is alien to Catholic lands, but unfortunately, several major Catholic universities sold their birthright for Protestant porridge, when the Protestant and deeply anti-Catholic American higher education establishment set forth standards of accreditation that had an inherently Protestant/Enlightement definition of academic freedom. Eventually, funded by Protestant and masonic sources, a glut of Catholic priests in the 1960s was dispatched to as-yet unevangelized lands which were identified as Catholic due to their Iberian heritage, but long dominated by masonic tyrrants, such as Mexico, Brazil, and Chile. They carried with them their Protestant “social gospel” theological indoctrination.