Eldest daughter Jerry was not impressed. "Oh my God. No," she posted.
Unlike Lorde's sister, many fans were keen to get their hands on the bedding created by American artist Alfonso Aranda.
The lightweight microfibre queen duvet cover sells for US$99 ($127) on the society6 website.
The image of the Devonport songstress is also printed on a range of merchandise, including shower curtains, phone covers, clothing, stationery and tote bags.
Official Lorde merchandise is only available from the singer's website.
Lorde's management did not respond to an approach from the Herald on Sunday for comment on the unofficial range of products being sold.