Recently I have done similar speed optimization project,
1. [login to view URL]
now score in mobile is 67/100 and in desktop is 75/100.
2. [login to view URL]
now score 72/100 in mobile and 79/100 in desktop.
I can raise the score 75+ in mobile and 85+ in desktop and can make the loading time under 1-4s.
I can optimize Image Size,Optimize Caching,Minification of JavaScript and CSS,Reduce Cookie Size and can do some other process.
we use these tools-
1. [login to view URL]
2. [login to view URL]
3. [login to view URL]
4. [login to view URL]
for more details we should speak on Skype and discuss more about the website speed.
I am waiting for your response.
Regards-
Ankit