You don't want the *.* here, because that will leave out directories. That only copies files which match the pattern filename.extension. Be careful about using a slash or not -- if you add the slash at the end, it copies the contents of the directory. Leave out the slash, and it copies the directory itself (and everything under it with the -r or better yet the -a option.
The -a option is what most people use -- it represents a collection of other options as Woolmlikporc points out.
open terminal and type man rsync to read all about it.