New International Version (NIV)
27 He will confirm a covenant with many for one ‘seven.’ In the middle of the ‘seven’ he will put an end to sacrifice and offering. And at the temple[c] he will set up an abomination that causes desolation, until the end that is decreed is poured out on him.
What is the Orthodox Church understanding of the above verse was it fullfilled during Jesus's time or is this yet to happen ?.
I think a common Orthodox interpretation is that this part happened in Jesus' time- in particular pagan use of the Second Temple before that was destroyed. "Him" in the above verse might sometimes considered to refer to a leader of gentiles- perhaps a military leader, but I am not sure.
The end to sacrifice is might be considered to refer to the change in spiritual meaning of OT Temple sacrifices. The Talmud mentions that about this time a ribbon in the Temple stopped changing color as it had previously happened.
In any case, the passage appears rather cryptic.