The Big Rip is bad news:
In physical cosmology, the Big Rip is a hypothetical cosmological model concerning the ultimate fate of the universe, in which the matter of the universe, from stars and galaxies to atoms and subatomic particles, and even spacetime itself, is progressively torn apart by the expansion of the universe at a certain time in the future, until distances between particles will become infinite.
This is a possible ultimate death of the physical universe.
Fortunately, within the bad news, we have a piece of good news from Paul in Romans 8:
18 I consider that our present sufferings are not worth comparing with the glory that will be revealed in us. 19For the creation waits in eager expectation for the children of God to be revealed. 20For the creation was subjected to frustration, not by its own choice, but by the will of the one who subjected it, in hope 21that the creation itself will be liberated from its bondage to decay and brought into the freedom and glory of the children of God.
22 We know that the whole creation has been groaning as in the pains of childbirth right up to the present time.
Is this, perhaps, referring to the degradation of all material objects including all human flesh (Gen. 3:19)?
Yes, and it is supported by the Big Rip theory. Furthermore, current spiritual beings are also subject to decay.
23 Not only so, but we ourselves, who have the firstfruits of the Spirit, groan inwardly as we wait eagerly for our adoption to sonship, the redemption of our bodies.
That's the good news. We will receive bodies that are not subject to decay.
How does the whole creation groan according to Romans 8:22-23?
The whole creation groans metaphorically. With the help of the Holy Spirit, the believers groan inwardly for the coming re-creation.
26 In the same way, the Spirit helps us in our weakness. We do not know what we ought to pray for, but the Spirit himself intercedes for us through wordless groans.
All these point to the current bad state of being but look forward to the future good state of being.