The generalized valency patterns cover both obligatory arguments and optional adjuncts of valency carriers in authentic texts. Such a valency is defined as the number of all the dependents of the valency carrier. With a motif defined as the longest sequence with non-decreasing values, this paper chooses two news-genre dependency treebanks, one in Chinese and one in English and examines the motifs of generalized valencies in them and their lengths. They both are found to abide by the right truncated modified Zipf-Alekseev distribution. In addition, the Hyperpoisson model captures the interrelation between motif lengths and length frequencies. These research findings validate valency motifs as basic language entities and as results of a diversification process.