This paper contributes to the ongoing construction of non-human rights. I will argue that international law should move towards the recognition of animals and nature as subjects of rights (positive and negative). I will propose to combine two paths that show ways out of the anthropocentrism of international human rights law. The first is the capabilities approach of Martha Nussbaum that, while remaining indebted to Rawlsian liberalism, can provide a framework for the protection of non-humans in human rights practice through an understanding of rights as basic capabilities to flourish. The second path is the Earth Constitutionalism and jurisprudence in Latin America. Heavily influenced by indigenous legal philosophies, Latin American jurisprudence highlights ways in which we could move beyond the thin social goods of liberalism and promote human rights as a harmonizer force that protects nature as having worth by itself. These approaches combined pave the way for a postliberal approach to rights in which we move from the rationality-autonomy-freedom justification of rights towards a capabilities-harmony-sustainability approach to rights.