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Most country post WW2 which were either back by the USSR or leaning toward it adopted russian style insignias unless they had pre-existing ones not linked too closely with the previous regime. As the insignias used in Manchukuo would most definatly be linked with the imperial government, I would assume that they would simply adopt the same rank progression as the Soviet at the time with only the branch insignias worn on them being any any way different.
With a US backed Manchuria, enlisted ranks might be done with chevrons and rockers as was done in a few US backed countries in our timeline but officer ranks would more then likely be a more straighforward scheme as Us style officer rank progression doesn't seen to appeal to other countries, probably due to its idiosyncracies.
Assuming tht the number of ranks are kept the same and only the insignias are changed, you might have something like this: