These baskets are used to collect mushrooms in France, you can sort your treasure between the two segments. They are equally useful in the potager or vegetable garden to pick and separate portions of the fruit and vegetables you pick. 
The larger basket is darker in colour and has signs of use for mushrooming. It measures 13.5" or 34cm long and 6.5" or 26cm wide and 4" or 10cm tall, without taking into account the handle.

The smaller basket is lighter coloured with less sign of useage, it may have been used for storage inside the home. It measures 11.5" or 29cm long and 5" or 12cm wide by 3.5" or 9cm tall at the highest point. This does not include the handle. 

French vintage mushroom basket