A curious contradiction. How do we resolve it?
In the case of gifting something, from the perspective of the gifter, they destroyed some value they had on their books and got nothing of value in return. There’s an account type for tracking why your net worth decreased - Expense accounts. The giftee received value and they have an account to track why their net worth increased - Income accounts. If value was objective, then the net worth decrease on one side would exactly equal the net worth increase on the other.
With something like cash, the unit of account and the store of value are the same thing - so 100 USD objectively the same value in everyone’s ledger. But say you were gifted a painting. The gifter may have valued this painting at 100 USD, while the giftee actually thinks it’s worth 50 USD. If the gifter didn’t tell them the price, there would be no way of knowing they recorded different numbers. So in this transaction value was destroyed.
The same thing happens when you buy and sell things. Say the painting was sold instead of gifted, then the difference in what the buyer and seller thought the painting was worth is value that was created and destroyed. Each person’s net worth would go up or down depending on whether they thought the painting was a bargain or overpriced. When providing services, value is created at the moment of usage and a ledger will track the creation of value in your landscaping business.
That's not the case. Money, of course, is just a promise to provide something of some defined value at some point in the future. Anyone can make such promises. Heck, that's why we invented accounting – to keep track of the promises outstanding and delivered!
Money is created and destroyed by extending and resolving credit. central banks do it, but so do regular banks and non-bank institutions.
If a bookkepper destroyed or created money they would be in a great deal of trouble and probably end up working for the state for two years less a day.
If it was important to account for the cash donation, the company would require a receipt in exchange. If it's part of a coverup the receipt may be for something unrelated but at least the books are in good order.
So, of course, in reality money was created (and then destroyed, it being a gift) in order to make the transaction whole. But as far as this magical fairytale land where money can't be created the entry doesn't work. You can't account for nothing.
Let's say it's not a gift. Let's say someone is borrowing $1,000 cash instead. The same applies. There is no corresponding element in trade to account for. It doesn’t balance. Thus, when the cash goes out you need to create money out of thin air to satisfy the other side of the transaction, which is later destroyed when the cash is returned.
Lending would be at least two sets of doubly-recorded transactions.