With prFile('data.pdf') being within the loop, a new document is being created at every line. This is how I think it should look ;

#!/usr/bin/perl
use PDF::Reuse;
use strict;
use warnings;

printinterrr();

sub printinterrr {

  open(MYINPUTFILEONE, "data.txt");
  $| = 1;
  my @linesone = <MYINPUTFILEONE>; # read file into list
  close (MYINPUTFILEONE);

  printf ("                     =================\n\n"); 
  printf ("                     |  VERIFY NAME  |\n\n"); 
  printf ("                     =================\n\n");
  printf ("                                      \n\n"); 
  printf ("        PLEASE INSERT NAME TO VERIFY:\n\n");
  printf ("            \n\n\n\n\n\n\n\n");

  my $interrrverify = <STDIN>;
  $interrrverify = <STDIN> until defined $interrrverify; 
  chomp($interrrverify);

  printf (" ========================================\n\n");
  printf (" | NAME | NUMBER | TYPE | OWNER | INTER |\n\n");
  printf (" ========================================\n\n\n");

  my $found = 0;

  my $pageTop     = 800;
  my $pageBottom  = 40;
  my $x           = 35;     # Left margin
  my $y           = 760;                     
  my $step        = 10;     # Distance between lines (fontsize = 12)

  prFile('data.pdf');              
  prCompress(1);            #  Compress streams
  prFont('Times-Roman');
 
  prText(50, 800, "=======================================");
  prText(50, 790, "NAME    NUMBER   TYPE   OWNER     INTER");
  prText(50, 780, "=======================================");         
+              

  my $format = "         %-13s %-15s %-11s %-10s %0s\n";
  
  foreach my $interrrverify2 (@linesone) {
    my @fieldone = split(":", $interrrverify2);
    if ($fieldone[4] =~ /(?<![\w-])$interrrverify(?![\w-])/i) {
      printf ($format, $fieldone[0], $fieldone[1], $fieldone[2], $fiel
+done[3], $fieldone[4]); 

      prText(50, $y,  "$fieldone[0]");
      prText((50 + 90), $y,  "$fieldone[1]");
      prText((50 + 195), $y,  "$fieldone[2]");
      prText((50 + 272), $y,  "$fieldone[3]");
      prText((50 + 335), $y,  "$fieldone[4]");
      $found =1;

      if ($y < $pageBottom) {  
        prPage();
        $y = $pageTop;
      } else { 
        $y -= $step;
      }
    }       
  } # END FILE LOOP
  prEnd;
}

sleep 10;
[download]

Note the prEnd is also outside the loop.
poj