"碎布制玩偶" can be translated into English as "rag doll" or "cloth doll made from scraps".
"Rag doll" is a common and concise expression, directly referring to a doll made from pieces of cloth or rags.
"Cloth doll made from scraps" provides a more detailed description, emphasizing that the doll is crafted from scraps or leftover pieces of cloth.
In most contexts, "rag doll" would be sufficient and widely understood.