You have 2 choices: live with the ugly wires or place something in front of them. I'm guessing this is a bedroom given your use of the term "chest of drawers." There are other options like shelves, etc. I would suggest you post this on the "home decorating" forum. They will have creative suggestions for you.

Perhaps consider a 2x4 build out wall that can hide the wires and you can cover with wainscoting or raised panels and paint your trim color. I am doing a wood accent bump out to mount my TV on a concrete wall.

Here are two more ways to hide the TV wires in the bedroom and still have access when needed. Go to the link for more details.

Jump on Pinterest. Lots of DIY ideas to hide TV wires. Maybe do a small chest to hold the sound bar and system.