In order not to produce a dangerous universal power of a tyrannical nature, the governance of globalization must be marked by subsidiarity, articulated into several layers and involving different levels that can work together. Globalization certainly requires authority, insofar as it poses the problem of a global common good that needs to be pursued. This authority, however, must be organized in a subsidiary and stratified way, if it is not to infringe upon freedom and if it is to yield effective results in practice.
Sure he doesn't use the term "New World Order" but he definitely gives a description of it and endorses a "kindler gentler" version.
Edit: More from the same encyclical.
Economic activity cannot solve all social problems through the simple application of commercial logic. This needs to be directed towards the pursuit of the common good, for which the political community in particular must also take responsibility. Therefore, it must be borne in mind that grave imbalances are produced when economic action, conceived merely as an engine for wealth creation, is detached from political action, conceived as a means for pursuing justice through redistribution.
Calling for "justice through redistribution" is statist.