If you just want to tack something on by hand, then the sed
answer will work for you. If instead the text is in file(s) (say file1.txt and file2.txt):
Using Perl:
perl -e 'open(OUT, ">>", "outfile.txt"); print OUT while (<>);' file*.txt
N.B. while the >>
may look like an indication of redirection, it is just the file open mode, in this case "append".