The LFS Programmers forum isn't suitable for general assistance because of the number of people that post there. You're more likely to get help in the Technical Assistance subforum. As such I've moved your post.
The client connect failed normally means that either you have a home router or firewall in front of your LFS server, preventing a player's connection from fully completing.
You might want to read
http://en.lfsmanual.net/wiki/H ... rwarding_.2F_Home_Routers which gives an example and has a link to portforward.com, which often has step by step guides available for most home routers.