Yrreg writes:Is there empirical evidence for dark matter and dark energy?
Right. And I have explained what the evidence is. So, clearly there is evidence.
Yrreg writes:Is there the existence of empirical evidence proving the existence of dark matter and dark energy?
"Dark matter" is the name of a scientific mystery (of something unexplained). Similarly, "dark energy" is the name of another scientific mystery.
Clearly those mysteries exist.
If you are asking whether "dark matter" refers to a huge herd of black cats wandering around inside galaxies, then probably not but the fact is that we not currently have a complete explanation for the evidence that we see. That's why it is considered a mystery.
Yrreg writes:And please, no need to bring in the word proposition, just keep to facts.
Well, I have been keeping to the facts. And the current situation is that we have evidence (that is, facts), but we do not currently have a complete explanation for that evidence (i.e. we are looking for more facts).
When we will have those additional facts, I cannot say. If it takes building a space ship to travel to a distant galaxy, then perhaps we will never have them. On the other hand, perhaps some new astronomical discovery will lead to an "Aha! Insight" moment.