Actually, the feast of unleavened bread is never referred to as a "Sabbath" in the OT, and there is no evidence that it was referred to as an annual "Sabbath" in the time of Christ either. What is evident is that Jesus died on the day of preparation (from all the gospels) and on the evening before the Sabbath (Mark specifically records this). It is only in recent years that a group of Christians has tried to retranslate the day of preparation and the "prosabbath" (literally fore-Sabbath, which is Friday (Thanks to
@Der Alter for his assistance with this)) as the day before the first day of unleavened bread.
While Mark is most specific about the day, Luke also gives a helpful chronology. He records how Jesus died and was buried on the "day of preparation," and how the women wen to see where He was buried, and the "Sabbath drew near." Then they went and prepared oils and spices, and they rested on the Sabbath as was commanded. Then, early on the first day of the week, they came with the spices and oils they had prepared to dress His body, which they couldn't do on the evening that they were prepared because the Sabbath started, and they rested as required.
If you want to believe the modern "scholarship" on this, despite the lack of support in the OT or in the writings and teachings of the apostles and church fathers, that is your choice. However, be aware that this interpretation goes against the evidence of scripture, and not with it.