There is no uniform definition amongst those who desire it for the term "reform of the reform." My preference is "reform in continuity" which is what Pope Benedict used and I have said over and over again the best example of this is what the Anglican Ordinariate will soon have in their new Roman Missal, developed under Pope Benedict's papacy but approved by Pope Francis!
It seems, though, His Holiness' criticism of the "reform of the reform" has more to do with ultra-traditionalists who take in candidates for the priesthood who have been rejected by other religious orders or dioceses, who have serious mental and emotional issues that can harm the Church in the long-run. They are rigid and hide their problems under a pious regimen that appears to be holiness rather than pathology. This is quite legitimate, although if the truth be told, progressive bishops did more of this indiscriminate selecting of priestly candidates prior to the sex abuse scandal than did traditional bishops. Progressive corrupt candidates for the priesthood wreck havoc on the Church as well and perhaps more so in the last 40 years!
As per His Holiness talk on the Liturgy, we are now learning that the talk was based on a very long presentation given to the Congregation for Divine Worship in 2005 when he was still Cardinal Bergoglio. The text for this talk is in the Vatican Newspaper, L’Osservatore Romano but in Italian and hasn't been translated.
But here is another take on that talk to the Roman clergy:
Cardinal Bergoglio on the celebration of the Mass
Catholic World News - February 20, 2015
The March 2005 address was delivered during a meeting of the Congregation for Divine Worship and the Discipline of the Sacraments. L’Osservatore Romano reported that the text was the basis of Pope Francis’s February 19 remarks to the clergy of Rome.
The future Pope called for a recovery of Eucharistic awe and wonder in the face of the reality of the mystery being celebrated. It is important, he added, that the priest be a man of prayer who puts on the Lord Jesus Christ and that in the homily, he speak from the heart.
Cardinal Bergoglio added that the variety of options in the current missal is “remarkable” compared to the Eastern liturgy and that there is thus no need for “superfluous, poor texts of wild ‘creativity.’”
In speaking the words of the Eucharistic Prayer, the priest, he added, should neither be a “showman” of “superficial animation,” nor use “rigid gestures,” as if the faithful were not present.
My final comment: The greatest problem today for the Mass in general does not come from those priests who use "rigid gestures" but precisely from those priests, usually my age and older, who are "showman and use superficial animation." I experienced this in the most dreadful way this past weekend when I attended Mass while on vacation.
Of the two extremes highlighted by the pope, please give me "rigid gestures" over "showman, superficial animation"!