Mixing layer colours

Ok, you you have shape layers, which is even better. You can duplicate those shape layers, select the path from on of the overlapping shapes and paste it into the duplicate shape layer. You can then use the Intersect shape areas, then combine shape areas to make new layers for each of the shapes.

In the end you will have a shape layer for each shape that you can change the color by double clicking on the icon in the layers panel.

Can you post a screen shot of your file, showing the layer panel? I think the best way in your case is to have separate layers with solid color shapes that you can change the color by using the swatches.

now i see ,

on illustrator its but but Photoshop i think this way good enough

you have to re draw the areas with mixed colors every color on single layer and give it certain colors, then put all the mixed colors layers above the original logo layers

good luck

try to use gradient tool on empty layer and put your colors then make clipping mask on the layer

You can use blend modes to alter the color of overlapping layers. Auto Blend isn't for what you're looking for, as it tries to blend photos into one image seamlessly. Without seeing what you're attempting, I would suggest that you make a selection of each layer and then use shift-alt/opt to select the overlapping layer to just select the areas that overlap. You can then create a new layer and fill it with whatever color you want