Although the dictionary gives them as synonyms, I would rarely if ever use accordingly in that context. I would only use it to mean 'in a way that is appropriate or suitable'. Therefore is much more the normal word to use.

They are technically interchangeable, but I use them differently. I use accordingly like it's the effect of a cause. Like "When we get new information, we'll react accordingly." Or "If this department decides they'll do their own reporting then we'll respond accordingly." As in tangible action. I use therefore sort of like "so", but I don't use this word a lot. It is a little formal for my taste and I try to be as casual as possible, even in business, to make language accessible. In most instances I can think of you can omit this word and not lose your meaning.