if I not wrong Coptic Catholic patriarchs, till patriarch Stephanos I Sidarouss, wore omophorion in no so ancient times?

Syriac and Syro-Malankara vestements are similar, although slightly elongated for some vestments, or cut differently for others.

http://sor.cua.edu/Vestments/index.html

There are (unfortunately) images from the 40s through the 70s of Syro-Malankara prelates wearing the Latin pallium on top of the "batrashil" but this trend thankfully ended very quickly.

As for the "sakro" or 'epigonation' (as Byzantines call it), it is interesting that it was incorporated into Syriac Tradition at all, as it is a remnant of reception of Byzantine imperial award. Since the Syriacs were always on the outs with the Byzantine emperors and did not want to be under his authority, it is no wonder that the custom is limited.

There are (unfortunately) images from the 40s through the 70s of Syro-Malankara prelates wearing the Latin pallium on top of the "batrashil" but this trend thankfully ended very quickly.

Source: Claremont Coptic Encyclopedia (http://ccdl.libraries.claremont.edu/cdm/singleitem/collection/cce/id/1221/rec/4)
Omophorion
This vestment, referred to as the "white ballin" in the ordination
service of bishops, is a silk scarf about 13 feet (4 m) long and 4 feet
(1.25 m) wide, embroidered with large golden or silver crosses, and
sometimes ornamented with precious stones.
It may also be worn at the liturgy, on top of the turban, instead
of the burnus-hood, and folded crosswise on the chest and the back.
As a garment, the omophorion symbolizes the breastplate of faith (1
Thes. 5:8), the crown of thorns placed on Christ's head, and the
napkin brought by Nicodemus to the burial of Christ.
The miter is worn by the patriarch and the bishops during the
liturgy and in ceremonial processions. It is one of the insignia that,
according to the Rite of Consecration of the Patriarch of Alexandria,
is bestowed upon the selected patriarch by the senior bishop, the
metropolitan of Jerusalem and the Near East, while the deacons
sing, "The Lord reigns; he is robed in majesty" (Ps. 93:1) and "Thou
settest a crown of pure gold on his head. He asked life of Thee, and
Thou givest it him" (Ps. 21:3-4). Here the bishops, with the
exception of the metropolitan of Jerusalem, remove their own miters
and cover their heads with the omophorion (see below).

Could any Coptic in this forum tell us if the ornament in the picture below is in fact a Coptic omophorion?
http://teaandpolitics.files.wordpress.com/2010/09/bishoy.jpg?w=200