What does 'organic/non-organic molecule' means exactly?
There are many different answers to the question, "What is an organic compound".  Here are a few examples:


Pudue - "compounds that contain both carbon and hydrogen"
Britanica - compounds in which one or more atoms of carbon are covalently linked to atoms of other elements, most commonly hydrogen, oxygen, or nitrogen. The few carbon-containing compounds not classified as organic include carbides, carbonates, and cyanides
Wikipedia - any member of a large class of gaseous, liquid, or solid chemical compounds whose molecules contain carbon. For historical reasons discussed below, a few types of carbon-containing compounds such as carbides, carbonates, simple oxides of carbon (such as CO and CO2), and cyanides are considered inorganic
UC Davis- Any compound containing carbon atom(s) is classified as an organic compound


Trying to pull the best from each of these while still keeping it simple, perhaps a good definition of an organic compound would be - any covalent compound containing, at least, carbon and hydrogen.  Everything else would be inorganic.