Here is the video:
I know it's "transition effect" at [1:46 -> 1:51] and [0:45 -> 0:49] But i can't find the name, and some tutorials to do it in After Effect or Sony Vegas Pro.Anyone knows? Thanks
There is no set name for this transition as it isn't a standard transition effect that you would expect to find as a preset in your editing software. It is probably a custom made transition sequence, however it's a rather simple one. It just takes the same image multiple time, applies different filters to them and uses a simple slide-in effect to iterate through them.
Because it looks like crap. I have no idea what kind of video you are doing, but this transition will make you look like you just found out about Photoshop and decided to press all the buttons.
(cough Photoshop Philipp cough)
If you want your video to be taken seriously, use hard cuts or short, soft transitions only. In general, I wouldn't recommend trying to copy Hatsune Miku AMVs from YouTube, unless that is precisely the look and audience you want. Some more advice on transitions can be found in my answer here.