How to configure ACL for Time Worked related list to display "New" button to add time for user with ITIL role?

[SP14]

i have recently deployed Time Worked related list on PROD, but the issue is it is only visible for Admin and not for non-admin users. Initially i thought it was ACL rule, but i created ACL rule for non-admin users as well (See below rules). Still i can see no changes, only Admin people can see "New" on time worked related list, non-admin's can't see "New" but can see time worked related list tab.
Note: Admin's as well as Non-Admin's has ITIL role. 

Admin - Time Worked related list view


Non- Admin - Time worked related list view

[psyherin]

Thanks for the update. This was helpful. OOTB there are no ACLs for time worked so in my case I created 4x ACLs and it is working now.

Thank you

[VEDANSH RANA]

Can you tell what are the ACLs that you have created for this purpose?

[-Z-]

Are there table level (where the 2nd Name field is -- None --) ACLs already? Those will be evaluated 1st and if there are no specific table level rules present the * rule that only allows admins access will "kick in" and deny access for regular users.