The following description was prepared by William Gross:
The finials evolved from knobs at the upper end of the staves (Atzei Chaim) on which the Torah scroll is wound. Since the shape of the spherical finial recalled that of a fruit, it was called a tappu'aḥ, "apple," among the Jews of Spain and in the Sephardi Diaspora, and a rimmon, "pomegranate," in all other communities.
The earliest known reference to Torah finials occurs in a document from 1159, found in the Cairo Genizah, from which we learn that by the 12th century finials were already being made of silver and had bells. Around the same time, Maimonides mentions finials in the Mishneh Torah (Hilkhot Sefer Torah 10:4). Despite the variations on the spherical shape which developed over the centuries and the addition of small bells around the main body of the finial, the spherical, fruit-like form was the basic model for the design of finials in Oriental and European communities.
A most significant variation appeared in 15th-century Spain, Italy, and Germany, where the shape of finials was influenced by that of various objects of church ritual, whose design often incorporated architectural motifs, The resulting tower-like structure, which seems to have appeared around the same time in different parts of Europe, became the main type of finial in 18th-century Germany and Italy, as well as Morocco, brought there by Jews expelled from Spain.
This exceptional pair of Rimmonim, finials for the Torah scroll, have the typical shape of the type used in Galicia, where they were called "Atzei Chaim", trees of life. The decoration is typical of the region as well. The use of varied animal motifs, some of which have messianic symbolism, was a standard for much of the Judaica produced in Lvov and Galicia. In this example the symbols include birds, a lion, a deer and a sheep.