You use accordingly to introduce a fact or situation that is a result or consequence of something that you have just referred to.
We have a different background, a different history. Accordingly, we have the right to different futures.
我们拥有不同的背景、不同的历史。因此,我们有权获得不一样的前途。
If you consider a situation and then act accordingly, the way you act depends on the nature of the situation.
It is a difficult job and they should be paid accordingly.
这是一项艰巨的工作,他们应该获得相应的报酬。