Manufacturers could be tempted to sell sets of plastic bags to make up for those from the checkout and handy for this and that. It would be a backward step. Plastic bin liners exist and some are biodegradable but doubts are cast on the biodegradable process.
Full marks to those in the community who make reusable bags on the sewing machine. Short handles are a must. Please make short handles for the bags. Long handles mean that the bag drags on the ground if the bag of groceries is held by the handles.