The Collect for the Novus Ordo today is in part inspired by that of the parallel prayer in the 1962 Missale Romanum. However, it seems to be a rather new creation, if not entirely new.
Deus, qui huius diei venerandam
sanctamque laetitiam in apostolorum
Petri et Pauli sollemnitate tribuisti,
da Ecclesiae tuae
eorum in omnibus sequi praeceptum,
per quos religionis sumpsit exordium.
The last part, “eorum in omnibus sequi praeceptum, per quos religionis sumpsit exordium” is in the 1962MR Collect. But the first part is a new composition, based on some ancient patters of prayers for feasts of other apostles.
I think what we have going on here has little to do with continuity. The architects of the Novus Ordo wanted to express something quite different from what the 1962 Collect expressed. The first part of the 1962MR prayer speaks of the martyrdom of Sts. Peter and Paul.
There is a usage in late Latin of sumo and exordium, which is surely at work here: "to make a beginning".
Since this seems to be a fairly new prayer we have a little flexibility with very complex religio. Let’s refer to the great Lewis & Short Dictionary: "Reverence for God (the gods), the fear of God, connected with a careful pondering of divine things; piety, religion, both pure inward piety and that which is manifested in religious rites and ceremonies; hence the rites and ceremonies, as well as the entire system of religion and worship, the res divinae or sacrae, were frequently called religio or religiones". On the other hand, the source for liturigcal Latin Blaise/Dumas suggests merely: "piete" and "religion". Religio in our context needs a word or phrase that gets at the external express or our interior attitude.
VERY LITERAL VERSION:
O God, who for the solemnity of the
apostles Peter and Paul
bestowed the holy and venerable joy of this day,
grant to Your Church
to follow in all things their instruction
through whom she made a beginning of the life of faith.
Here is the version in the so-called …
"Green Book" of the new ICEL version:
who gave us the noble and holy joy of this day
as we solemnly commemorate the Apostles Peter and Paul,
grant that your Church
may in all things follow the teaching of those
through whom she received the beginnings of her religion.
Through our Lord Jesus Christ, your Son,
who lives and reigns with you
in the unity of the Holy Spirit, God,
for ever and ever.