PeopleSoft Cookie Retirement Project | Webjunction Authentication

We are working on Cookies retirement project for PeopleSoft CRM. PeopleSoft currently using Cookie based authentication, now we are moving to Webjunction authentication. We are redirecting peoplesoft URL to webjunction where we need to login with our User ID and Password and through peoplecode, we are extracting authenticated User ID from Webjunction Header and login with that authenticated user. But pages are loading in distorted form and when clicking on any link peoplesoft is expiring.

PeopleSoft URL: https://crmcc-blue-dev.stage.att.com/psp/ps/?cmd=login

Webjunction URL: https://webtest.stage.att.com/blue04dev

PT :- 8.50.16

CRM :- 8.80.01.000

When we are using peoplesoft URL directly to login with Cookie based authentication we able to load every page, but through webjunction URL pages are loading in distorted form and expiring.