In the NEO-MP2 framework, the amplitudes for each interaction type are decoupled. This allows to treat specific terms, for example the electron-electron correlation, on a di↵erent computational level than the electronic-nuclear and nuclear-nuclear correlation. The level of theory for the electronic correlation, which is a particularly sensitive quantity, can be improved without any change to the other correlation terms. Such modular approaches to the correlation energy are not new within the NEO framework and are regularly employed for NEO-DFT. Thereby, it is a common approximation to neglect the nuclear-nuclear correlation due to the low impact on the overall correlation energy. Moreover, sometimes even the electronic-nuclear correlation is neglected and only the electron-electron correlation is accounted for. In order to make clear that the nuclear-nuclear and nuclear-electronic correlation is handled at the MP2 level, but the electronic-electronic correlation is described at a higher level of theory X, we denote the composite method as NEO(MP2)-X.