Mov to MP4 color is mismatching

Hi all!

I have this issue it sometimes worked now it doesnt.

I have a .mov file that i can share with you if you have a solution, the problem is next:

I use after effects for an animation and i export it as a .mov and the colors are accurate with a color palete of 0687AE , but when i insert it into premiere pro and export as mp4 i get the color 0787AE, and the thumbnail icon on the desktop is very different, when i import the mp4 in the premiere pro for comparisson it is almost the same but not identical.

I need to get the mp4 file exactly the same as the mov and i fail to do that, i am not asking about the graphic preview settings that is adjusted, the issue i have is the rendering options and why does it look different... sometimes i had this problem and managed to fix it now i can't even online converter from mov to mp4 will fail and give some 3rd type of preview.

To know more what i am talking about here is as screen shot, the right one is accurate the left one fails.
https://ibb.co/1qJF7zV

Thank you!