Related for Taanit 32:15
ר' יהודה אומר לא היה צריך לומר זכרונות כו': א"ר אדא דמן יפו מאי טעמא דר' יהודה לפי שאין אומרים זכרונות ושופרות
And the congregation respond, Blessed be the name of His glorious kingdom for ever and ever. The synagogue attendant calls out, Sound a Teki'ah, Priests, Sound a Teki'ah, and [the Reader] then resumes, He who answered Abraham on Mt. Moriah, He will answer you and hearken this day to the voice of your cry. And they blow a Teki'uh and sound a Teru'ah, and blow a Teki'ah [again]. When concluding the second benediction he says: Blessed be the Lord God, the God of Israel from everlasting to everlasting. Blessed art Thou who rememberest forgotten things; and the congregation respond, Blessed be the name of His glorious kingdom for ever and ever. The synagogue attendant then calls out, Sound a Teru'ah, children of Aaron, sound a Teru'ah, and the reader resumes, He who answered our fathers at the Red Sea, He will answer you and hearken this day to the voice of your cry. They then sound a Teru'ah and blow a Teki'ah and sound a Teru'ah [again]; and likewise he [does] after every benediction, at one he calls out, Blow a Teki'ah, and at another, Sound a Teru'ah, until all the benedictions are concluded. R'Halafta made this order of procedure the custom of Sepphoris and R'Hananya B'Tradyon made it the custom of Siknin. When, however, the matter was brought to the notice of the Sages, they declared that this custom was observed only at the eastern gate and on the Temple mount. R'JUDAH SAYS: HE NEED NOT RECITE THE ZIKRONOTH AND SHOFAROTH etc. : Said R'Adda of Joppa; what may be R'Judah's reason? Because Zikronoth and Shofaroth are recited only on New Year