I will add a mask as well and hide a part of my effects.

Bayville - Pop Art Style



Bayville - Pop Art Style

As you can see I've hidden a part of my purple.

Bayville - Pop Art Style

Then I will correct my color a little bit.

Bayville - Pop Art Style

I will use a hardly seen gradient for my background.

Bayville - Pop Art Style

Moreover I will do some layer styling on my background.

As you see only 2 styles are turned on here. We
have a pattern overlay here and a gradient overlay.

Bayville - Pop Art Style



Bayville - Pop Art Style

Color correction on the background (only), just make that layer between the logo layer and background. This way it will effect only the background.

Bayville - Pop Art Style

And we are done here with Bayville View here.

Bayville - Pop Art Style



Bayville - Pop Art Style



Bayville - Pop Art Style

Enjoy it!