There are two texts which make this especially clear but which have been made obscure in the modern Bible versions, so your choice of version may have impacted your ability to locate this teaching. For illustration, I will cross-compare the KJV and NIV Bibles, but other modern Bibles have similar failings, not merely the NIV.
| Scripture |
King James' Version (KJV) |
New International Version (NIV) |
| Ephesians 2:15 |
Having abolished in his flesh the enmity, even the law of commandments contained in ordinances; for to make in himself of twain one new man, so making peace; |
by abolishing in his flesh the law with its commandments and regulations. His purpose was to create in himself one new man out of the two, thus making peace, |
| Colossians 2:14 |
Blotting out the handwriting of ordinances that was against us, which was contrary to us, and took it out of the way, nailing it to his cross; |
having canceled the written code, with its regulations, that was against us and that stood opposed to us; he took it away, nailing it to the cross. |
In the NIV, the law is said to have been entirely abolished. Because the sky (heaven) still exists, as does the earth, we know from Jesus' statement that the NIV text cannot be true.
For verily I say unto you, Till heaven and earth pass, one jot or one
tittle shall in no wise pass from the law, till all be fulfilled.
(Matthew 5:18, KJV)
But what exactly were the ordinances, and why do we associate them with the ceremonial laws?
They shall leave none of it unto the morning, nor break any bone of
it: according to all the ordinances of the passover they shall keep
it. (Numbers 9:12, KJV)
The Passover was governed by "ordinances." It was an annual ceremonial of solemn significance, required of God's people prior to Jesus' own sacrifice. The ordinances were separate from the Ten-Commandment law. Unlike the Ten Commandments, which had been written in stone by God's own finger, the ordinances were written by the hand of Moses.
Further evidences that the word "ordinances" applied to a separate category than words like "law" and "commandments" exist in how it is used elsewhere.
Also we made ordinances for us, to charge ourselves yearly with the
third part of a shekel for the service of the house of our God;
(Nehemiah 10:32, KJV)
And why do we refer to the ordinances as the "handwriting"?
Neither will I any more remove the foot of Israel from out of the land
which I have appointed for your fathers; so that they will take heed
to do all that I have commanded them, according to the whole law and
the statutes and the ordinances by the hand of Moses. (2 Chronicles
33:8, KJV)
After Christ's death, the continued observance of the Passover, or the continuance of animal sacrifices, observance of the other special feasts that had pointed forward to the Messiah, etc.--essentially to observe any of these ceremonies would be to deny the Messiahship of Christ and show no faith in the fulfillment of these types in their Antitype who had come. For this reason, these were abolished.
God showed clearly that these ceremonies were ended when, at Jesus' death, the veil separating the Holy Place in the tabernacle from its Most Holy Place--the place where God's own presence was to dwell and which could not be seen nor entered by the common people (being entered only once a year, with fear and trembling, by the high priest), was torn, top-to-bottom, allowing all to see inside (the ark had not been present there already for centuries).
50 Jesus, when he had cried again with a loud voice, yielded up the ghost. 51 And, behold, the veil of the temple was rent in twain from the top to
the bottom; and the earth did quake, and the rocks rent; (Matthew
27:50-51, KJV)
After that veil was torn apart, and the Most Holy Place exposed, it was no longer possible to maintain the former forms and ceremonies of the Levitical priesthood.
Conclusion
All forms and ceremonies that pointed forward to Christ are abolished, including the sacrifices, the feasts, and the Levitical priesthood itself.
The dietary laws were separate from these in that they were not established for the purpose of pointing forward to Christ: they were given for the health and prosperity of God's people. Nor were they ceremonies--just as the laws of marriage were not ceremonies. As such, the dietary laws were not abolished at the cross, but are still to be observed for our benefit.