The denomination isn't two cents, but two mills.  A mill is a tenth of a cent.  In order to make the sales tax more palatable, Governor Huxman issued these mill coins to make change for fractions of a cent.  Apparently during the Depression a part of a cent was still of some value.  About 99.9% of the population detested these sales tax tokens--the merchants for the added complications they brought, the customers for their small size and ease of loss.  They were phased out after only two years.  Remaining inventories were sold as scrap to aid the war effort.

I remember an old timer telling me of tearing down a barn and finding that each roofing nail was through a Kansas Sales Tax token.  Apparently whoever was installing the roof used them as washers.  Maybe their value was less than a washer?