Money management is how you manage your money ie the trading size, what you can trade looking at capital size, how you enter the trade, scale in or average in, how you exit etc. Risk management is a more institutional term but it’s how you manage your risk eg portfolio risk across managers or instruments, how many positions you have on in total, reduce behavioural and psychological risk. However both terms are used interchangeably here so doesnt matter.
Eg for me. I manage money by trading 1-2% a trade. I manage risk by not holding over the weekend.