No. Organically modified plants are plants in which the DNA has been modified, for example to make them resistant to insects. Feeding a cow with GMO feed or its conventional equivalent does not have an impact on milk composition. When the cow digests and assimilates the feed, the constituents of the feed are degraded, in particular the DNA and proteins. Thus, analyses can never result in finding genetically modified DNA in the milk of a cow fed with GMO feed.