Irrespective of where it might go to until it gets back to where it belonged, any property that formerly belonged to 'XYZ Laundry Ltd' now belongs to 'XYX Laundry (in liquidation) Ltd'. It forms part of the assets of the company, which the liquidator will require in order to sell (probably at auction) in order to settle the debts (in whole or in part) of the company.
Unlike, say hiring catering equipment (where you're expected to return it in a clean condition), your agreement provided that the linen would be sent back soiled. So yo don't need to get it laundered before returning it to the liquidator.
Technically (while waiting to return it to the administrator/liquidator) you shouldn't now be going through the cycle of getting it laundered elsewhere (and then reusing it) time and time again, as that runs the risk of lowering its sale value through wear and tear. In practice, however, I can't see that such an arrangement (in order to see you through the period while you're seeking a new hire-&-clean contract elsewhere) would actually present any real problems.