use strict;
use warnings;

my @rows;

push @rows, [split ' '] while <DATA>;

print "@$_\n" for sort {$a->[1] cmp $b->[1] or $a->[2] cmp $b->[2]} @rows;

__DATA__
name=Document1.doc type=Word author=aAuthor
name=Document1.doc type=Excel author=bAuthor
name=Document1.doc type=Text author=cAuthor
name=Document1.doc type=Excel author=dAuthor
name=Document1.doc type=Word author=eAuthor

##</code><code>##

name=Document1.doc type=Excel author=bAuthor
name=Document1.doc type=Excel author=dAuthor
name=Document1.doc type=Text author=cAuthor
name=Document1.doc type=Word author=aAuthor
name=Document1.doc type=Word author=eAuthor