Don't worry. Here is what you need to do:
1. Get the digital experience letter from Infosys.
2. Get the digital denial of the HR for your request of exp letter. Mail will suffice.
3. Prepare your own exp letter as per the requirement asked by CIC. The format is given in my thread. Don't copy the NOC job duties as it from official website. Modify it as per your role.
http://www.canadavisa.com/canada-immigration-discussion-board/threads/finally-done-with-documentation-am-i-missing-something.509966/
4. Get 2 copies of the letter signed by your manager and peer
5. Get scan of their business card & employee badges
6. Finally notarize the exp letter signed by manager and peer
Now put all the above documents in .doc file and save it as PDF.
Give the details of Infosys denying to give exp letter in LoE and mention the alternative documents you are providing instead.
Do all this and you will get your CIC approval.
All thanks to
@DelPiero07 who suggested how to do it when I needed the same guidance.