The firm's Good Natured Fruit is up for a prize in the fresh-produce category of the Quality Food Awards on 27 November. The strawberries and raspberries, grown without the use of pesticides, rely on natural predators like ladybirds.
The other event, on 12 November, is the Green Awards. The firm has been shortlisted for the best green packaging category.
Managing director Lochy Porter said the new sustainable punnet was the "first of its kind in the sector", made from UK-sourced off-cuts from cardboard mills.