Let Assume, In my windows systems, I have two user one Admin user and one Non Admin User, where I install a software with vulnerability and used it in both user mode. Will that get affected in normal user mode.
It is tricky to understand what you are asking so I am assuming you are asking about any damage the malware can cause if run under your user account.
Firstly, it can touch anything your user account can touch, so assume all your data can be wiped, altered or stolen.
Secondly, through the use of a privilege escalation exploit, the malware may be able to use your user account as a stepping stone to an admin account, and then it can do anything that account can do - generally regarded as total control over the machine.