"move [a/some] +1/+1 counters from F onto G" means "remove [a/some] +1/+1 counters from F. put that many +1/+1 counters on G".
As this happens, Hardened Scales intervenes to put an additional counter on the other creature. Doubling Season will put twice as many counters on the other creature as what you remove from Forgotten Ancient.
If you split up the counters among multiple creatures, you decide how many you first are going to move, and then double those amounts, so that those other creatures will each get an even number of counters placed on them, which in total is equal to twice the number of counters removed from Forgotten Ancient.
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As this happens, Hardened Scales intervenes to put an additional counter on the other creature. Doubling Season will put twice as many counters on the other creature as what you remove from Forgotten Ancient.
If you split up the counters among multiple creatures, you decide how many you first are going to move, and then double those amounts, so that those other creatures will each get an even number of counters placed on them, which in total is equal to twice the number of counters removed from Forgotten Ancient.
Is that the information you wanted?
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