If this is just coincidence, it's fair too similar.
As I understand, you are making logo for Lithuanian AD agency based in Vilnius "A Lygio Reklama" that even don't have website so far.
The similar logo was made by Freytag Anderson for Little Black Book, London based online creative resource (I would call it blog). The current identity for LBB was launched in 2012, so it's at least 3 years before you published your work.
I don't like LBB logo. In my opinion it's representing big book and small B letter, not a little book. But what is done, is done.
But your logo is even more senseless. The name of the company is "A Lygio Reklama" means "A Level Advertising" (if Google is correct). And there is no connection in your work with "A level" at all. It's barely possible to find any connection with advertising (if we don't count visual connection with LBB logo).
Because of all of that you definitely should redesign this work.