Seeking to end a system that forces New York judges to “beg and plead” for even a modest salary raise, Chief Judge Judith S. Kaye said Monday that the judiciary would submit legislation to create a mechanism for annual cost-of-living adjustments for officials in all branches of state government.

The proposal was one of the initiatives outlined in a reform-driven state-of-the-judiciary address. Most notably, Kaye said that the court system has endorsed a constitutional amendment prepared by a special commission that would consolidate the state’s 11 separate trial courts — “the most archaic and bizarrely convoluted court structure in the nation” — into a Supreme Court and a District Court.