identify whether the term is associated with the reformation or the counter reformation of the 16th century

Here are your matches:
REFORMATION
COUNTER-REFORMATION
Allow me to add some detail about what the "Counter-Reformation" was. The Catholic Reformation or Counter-Reformation was an effort by the Roman Catholic Church in the 16th century, intended to strengthen itself in response to the Protestant Reformation. The Counter-Reformation included a number of features, such as: