Well - I just contacted our developers and they said its not a good practice to display two layouts on the single page and this might not work as well.
I checked with your install and I see that you are displaying view's cell with both the layout. The suggested approach is to create the single layout and add view's cell to display both views using single layout. I hope this makes sense to you.
I was worried about that, is there an other way I can display 2 views or archives like this into the same page without adding them to the same layout? I am wondering about this because this would really solve the problem.
Well - View's PHP API you can display the multiple views but you can use with or without layout. Either disable both view's using PHP API or display one view using layout and one view using PHP API.