Does the woman who asks the question bear a sin if her sisters wear her old clothes that are not permissible by Sharia, despite her forbidding them, and is she obligated to burn them?

Do not lend your sisters clothes that they will use to display their adornment (tabarruj) in front of non-mahram men, because that is a form of aiding in sin, which is forbidden by Sharia. Do not merely forbid them, but prevent them from accessing these clothes. Do not destroy these clothes; rather, benefit from them in a lawful manner, such as wearing them in women's gatherings if they are modest.