Dropping files on a network share results in incorrect permissions
I'd recommend checking to see what the permissions on the source files are, to confirm that they are not set restrictively (i.e., no access for others.) It's possible that these permissions are being replicated on the share by the automator script.

If you need the enclosing folder to have more restrictive permissions, you can likely keep that setup (and use Automator to change permissions on the files before they're copied.) Although I'm not sure that Automator can modify file permissions, you can definitely use it to run a shell script (chmod 644 filename.txt?) on the files before they're copied to the server.