Something like this?

for my $tu ($dom->findnodes('/tmx/body/tu')) {
    for my $child ($tu->findnodes('*')) {
        ( my $text = $child->textContent ) =~ s,\n, <lb/> ,g;
        print $text, "\t";
    }
    print "\n";
}
__END__
                    no    no    Hello <lb/> world!    Bonjour <lb/>  m
+onde    
     yes    no    no    Hello <lb/> world!    Bonjour <lb/>  monde
[download]

Or do you want a table of all the prop types?

use feature qw{ say };
use List::Util qw{ uniq };

my @headers = sort +uniq(map $_->value,
                             $dom->findnodes('/tmx/body/tu/prop/@type'
+));

for my $tu ($dom->findnodes('/tmx/body/tu')) {
    my %props;
    for my $prop ($tu->findnodes('prop')) {
        $props{ $prop->findvalue('@type') } = $prop->textContent;
    }
    print join("\t", map $_ // "", @props{@headers}), "\t";
    for my $child ($tu->findnodes('tuv')) {
        ( my $text = $child->textContent ) =~ s,\n, <lb/> ,g;
        print $text, "\t";
    }
    print "\n";
}
__END__
aligned    client    corrected    domain    project    subject
no        no                Hello <lb/> world!    Bonjour <lb/>  monde
+    
no        no        yes        Hello <lb/> world!    Bonjour <lb/>  mo
+nde
[download]

($q=q:Sq=~/;[c](.)(.)/;chr(-||-|5+lengthSq)`"S|oS2"`map{chr |+ord
}map{substrSq`S_+|`|}3E|-|`7**2-3:)=~y+S|`+$1,++print+eval$q,q,a,
[download]