Changes have been made in Git (FRAMEWORK_5_2):

commit e9e704c4a4d64305606703b770829571d6e3008e
Author: Jan Schneider <jan@horde.org>
Date:   Fri, 27 Jan 2017 14:51:31 +0100

[jan] Never send autoreplies again when setting zero vacation days in 
Procmail or Maildrop backends (Bug #14549).

  M docs/CHANGES
  M lib/Script/Maildrop/Recipe.php
  M lib/Script/Procmail/Recipe.php
  M package.xml

https://github.com/horde/ingo/commit/e9e704c4a4d64305606703b770829571d6e3008e

Changes have been made in Git (master):

commit adc2507b597c73ba8b03ffcadefc7e455700fb65
Author: Jan Schneider <jan@horde.org>
Date:   Fri Jan 27 14:51:31 2017 +0100

     [jan] Never send autoreplies again when setting zero vacation 
days in Procmail or Maildrop backends (Bug #14549).

  ingo/lib/Script/Maildrop/Recipe.php |  7 +------
  ingo/lib/Script/Procmail/Recipe.php | 26 ++++++++++++++------------
  ingo/package.xml                    |  1 +
  3 files changed, 16 insertions(+), 18 deletions(-)

http://github.com/horde/horde/commit/adc2507b597c73ba8b03ffcadefc7e455700fb65

Changes have been made in Git (FRAMEWORK_5_2):

commit 88b16e40f845a0a6c26ca7bdd80dcb274e05ab58
Author: Jan Schneider <jan@horde.org>
Date:   Fri Jan 27 14:51:31 2017 +0100

     [jan] Never send autoreplies again when setting zero vacation 
days in Procmail or Maildrop backends (Bug #14549).

  ingo/docs/CHANGES                   |  2 ++
  ingo/lib/Script/Maildrop/Recipe.php |  7 +------
  ingo/lib/Script/Procmail/Recipe.php | 26 ++++++++++++++------------
  ingo/package.xml                    |  2 ++
  4 files changed, 19 insertions(+), 18 deletions(-)

http://github.com/horde/horde/commit/88b16e40f845a0a6c26ca7bdd80dcb274e05ab58

Sorry. I can not understand what you need.

As in the previous image i shared, we are trying to setup vacation 
filter. If possible please let me know how we can find the filter that 
is used in the backend in horde.

Also Please check below script i got from horde when configuring the 
rule. Hope it will be useful to find more details about the issue.

Script name: .procmailrc
      1: # procmail script generated by Ingo (January 27, 2017, 5:23 pm)
      2: DEFAULT=$HOME/Maildir/
      3: MAILDIR=$HOME/Maildir
      4: ##### Vacation #####
      5: :0
      6: {
      7:   :0
      8:   * ^TO_testmail@test.com
      9:   {
     10:     FILEDATE=`test -f 
${VACATION_DIR:-.}/'.vacation.testmail@test.com' && ls -lcn 
--time-style=+%s ${VACATION_DIR:-.}/'.vacation.testmail@test.com' | 
awk '{ print $6 + (0) }'`
     11:     DATE=`date +%s`
     12:     DUMMY=`test -f 
${VACATION_DIR:-.}/'.vacation.testmail@test.com' && test $FILEDATE -le 
$DATE && rm ${VACATION_DIR:-.}/'.vacation.testmail@test.com'`
     13:     START=1482345000
     14:     END=1482517800
     15:
     16:     :0 h
     17:     SUBJECT=| formail -xSubject:
     18:
     19:     :0 Whc: ${VACATION_DIR:-.}/vacation.lock
     20:     * ? test $DATE -gt $START && test $END -gt $DATE
     21:     {
     22:       :0 Wh
     23:       * ^TO_testmail@test.com
     24:       * !^X-Loop: testmail@test.com
     25:       * !^X-Spam-Flag: YES
     26:       * !^FROM_DAEMON
     27:       | formail -rD 8192 
${VACATION_DIR:-.}/.vacation.testmail@test.com
     28:       :0 eh
     29:       | (formail -rI"Precedence: junk" \
     30:        -a"From: <testmail@test.com>" \
     31:        -A"X-Loop: testmail@test.com" \
     32:        -i"Subject: Vacation reply (Re: $SUBJECT)" ; \
     33:        echo -e "Vacation reply" \
     34:       ) | $SENDMAIL -ftestmail@test.com -oi -t
     35:     }
     36:   }
     37: }

These are not filter backends. Which filter backend did you enable in Ingo?

Sorry for the delay in response.

In the backend, we use postfix IMAP server and use this imp Horde 
Application for authentication of users.

Which filter backend do you use?

When Number of days between vacation replies set to 0, it should send 
auto reply for each and every mail. But it does not send the auto 
reply to second mail on wards.

Please clarify. I need to remove the days between replies.