I am using a HP dvd writer 200j and DVD-R disks.
I have used Ulead, MGI Video Wave 4&5, and Pinnacle 8.3
to edit and produce (Home movies from camcoder Soney trv 250/trv120) creating an AVI file, and the burner software to encode it to mpeg 2 as it does it any way so no sense doing it twice. Audio sync has been a problem that is noticable when seeing peoples lips move. Every software I have tried
does it, any miricales?

Also I see most of the forums are dealing with copying factor DVD's. Anyone who could give me step by step procedure on doing this DVD to DVD or SCVD on DVD? I have used Smart rip to get the files onto the harddrive..the what?

You said you were using "burner software" to encode. Is this Nero by any chance? The problem you mentioned has been reported when people use Nero to encode. The fix is to use another encoder, such as TMPGenc. Is your AVI in sync before encoding? If so, it's definitely your encoding software. You have a couple of ugly options.
1) Lusifer has had some luck shrinking and streching audio with an audio editor to get stuff back in sync.
2) You could use MPEG2VCR (http://www.womble.com) which is a MPEG-1/2 video editor. If you demux your encoded file, you can move the audio forwards or backwards in the mux until you get it in sync. It takes a lot of trial and error, but if the sync isn't too bad, it does work.

If your Source AVI file is in Sync and you did not drop any Frames when Capturing the Footage from the CamCorder then the Sync Problem is Probably occuring when encodeing..Which isn"t surpriseing because the Encoders in Studio 8, Video Wave and Ulead are Pretty Much Crap...You should Render your Projects as DV AVI files then use a Real Mpeg encoder to encode them to Mpeg2, This way you will Probably avoid the Sync Problems and get Much Better Quality...There are Lots of Mpeg encoders on the Market but most of them are total Crap, There are only 3 or 4 Good encoders on the Market Like Tmpgenc, MainConcept Encoder,CinemaCraft Encoder and Canopus Procoder...I would sugest either Tmpgenc because it is good and easy to use and there is a Fully working 30 day demo available for Download, Or MainConcept Encoder because it is about as good as Tmpgenc quality wize but it is 3 times as Fast but there is no Working demo available.....Cheers