Same as now. Grown in fields, transported, processed and made available in stores? Why would money be needed for this? It's essentially a question of organisation.
Agree with this, there's nothing inherent in the process of production of use values that requires money or money like tokens for it to happen - it's a question of (social & technological) organisation as you say. But what you are talking about here is primarily production. When it comes to distribution it's not quite as simple.
Money only comes in, under capitalism, as a measure of profitability and a means of restricting access to what has been produced. I'm sure Love Detective would agree on this.
Wouldn't agree with this though (as in both your description of money under capitalism, or the inference that the role of money under capitalism would have the same role in a non capitalist progressive society)
In a non-capitalist progressive society where productive assets are owned/managed in common and their usage is towards providing the use values that everyone needs to fulfill their potential as human beings - there would still need to be some system of restricting access to what has been produced.
Such a society wouldn't last very long if I could rock up to a farm as an individual and say i want to take their entire annual output for myself, and i don't care if everyone else starves to death as a result. So it's obvious that in such a society, there would need to be a means of restricting access to what has been produced (even more so if such a society was one which was faced with swathes of resource & environmental problems which meant it wasn't capable of producing an abundance of everything that was required).
Access to use values would of course be on a basis of need not money, however this process would still need to be managed/controlled to make sure that the primary purpose of that society was fulfilled and sustained (i.e. ensuring people get what they need). One way of doing this is that people just get a direct allocation of use values, appropriate to their need, from some central distribution centre. Another way is that they get regularly issued with some kind of money like tokens, appropriate to their need, which they can then use to pick up what they need from chains of decentralised distribution centres (shops) at their own convenience. Either way there would still involve some kind of system to restrict access to what has been produced. And 'money like tokens' would still be used (in an ideal sense) even if people got a direct allocation of output, as their allocation would represent 'money like tokens' which would represent their total 'need' that they can then use to draw down their share of what they need.
You might argue oh but what if people started trading/accumulating those money tokens etc - but you'd have exactly the same problems to face if there was no money like tokens as people could just trade/accumulate the use values instead (or see the emergence of one use value as an actual money currency itself), so the exact same issues would arise. But either way even if people did trade stuff, the fact that productive assets would be owned/managed in common and their usage directed towards the production of use values for need, would mean that these use values/money like tokens that people might start trading would never have the capacity to be used as capital. All the trading would represent was the recycling of previously produced use values around society from those who didn't need a particular use value any more to those who did. So nothing wrong with that, and i think I mentioned this before re a secondary market which would exist to further ensure that people got the use values they needed
So I don't see anything bad, in and off itself, of having a system to restrict access to what has been produced (i.e what you say is money's role). It would just not be the negative one that we have today which is through effective demand in the market and one that is designed to prevent people getting what they need, but a positive one designed to make sure that people get what they need (or if that cannot be done, due to environmental/resource issues, at least a fair share of what's been produced)