Similar for me. I bring extra t shirts. Each bottle is rolled in its own shirt. Put extra cushioning on the edges/outside of bag like dirty laundry, socks, etc.
I've done this to bring beer back and forth from Europe to the US and to/from various countries within Europe and no troubles, not once.
Only time I had a problem was with a canned beer. The can got crushed. Lame. Bottles in that same bag and no problem with them.