They have elevated post bases which can be adjusted to the height you need, but some of them must be embedded into concrete. You can use a 6x6 post extension and mount it to existing post and lower the post skirt over it and match the color.

That said you still have to use some sort of a post base which needs to be attached to concrete and the post so they will raise the post. Something like this I mean there a few ways this can be done, I just don't know why you have a 4" drop on such a short span.

Cut 4" off the posts on the other side.

This doesn’t look to be assembled properly for seismic and wind loads. Your code inspector can red tag you.

GreenDesigns, yes, it is not completed yet.

greg, I will look for post extensions.

It shouldn't be level, it should have a slight pitch to allow the water to run off. It will need a steeper pitch if you are putting a solid top on it, such as plastic panels.