Fetching details from the dictionary...

to join (cloth, wood, etc.)
二枚の布を綴いで一枚にした。
I joined two pieces of cloth into one.
祖母が端切れを一枚ずつ綴いだ。
My grandmother joined the scraps of cloth one by one.
破れた袖口を別の布で綴いでいる。
She is joining a different piece of fabric to the torn cuff.