Are the husband or wife responsible for a lost trust document, especially after the sheikh who owed the amount of the document confessed to it? And what is the solution if they bear responsibility for it before God?

If your husband loses a receipt without negligence on his part, there is no sin upon him, even if that leads to the loss of its owner's right. This is because a trustworthy person is not held accountable unless he is negligent or transgresses. Negligence is the abandonment of a duty, and transgression is the commission of what is impermissible. Among acts of negligence is placing the receipt with someone who is not trustworthy. Ibn Abidin mentioned that if someone places a trust with his wife, he is not liable if she is trustworthy, but he is liable if she is not trustworthy.