Is There Any Music Software (NO MATTER HOW MUCH IT COSTS) That Can Automatically Sync A Video/Audio Perfectly

[Can You Help Me Please]

I am a video dj. I remix a lot of music videos in my DAWS. Usually if I can find a video that goes with the audio remix, usually I remix it in my video dj software. Currently I use Cross DJ which has great high quality video outputs. The problem is that when I record a video with the song, a lot of times the lips and audio are off the beat and it takes a long time for me to get the best results to be in sync.

 

[delaro]

Cross DJ has a Auto Sync mode like every other current DJ Software on the market, are you using this feature?

This should be the manual for it.
http://www.mixvibes.com/wp-content/uploads/Cross-DJ-User-manual.pdf

As far as the best Traktor, Ableton Live 9 or Serato would be the best you can find.