Q:

Synonym for something like "Relate Back"

But this popular service, has also many drawbacks that the most significant one relates back to sentence translation.  

He is a very aggressive man. His behavior returns back to his awful childhood. 

First, Do "relates back" or "returns back" make sense? I'm looking for a word like dates back which is common [as a help].

A:

For your second sentence

relates back

would be more appropriate since you may want to show a relationship between the present and the past

His behavior relates back to his awful childhood.

would show his current "aggression" is due to his "awful childhood".

returns back

might be used to described what caused him to "return" back to his childhood

The events caused him to return back to his awful childhood.

