Yes. Baffles, as in the acoustic sound absorbers. Even if you can't hang the panels you can build them and just lean them against the walls around the room and they'll help tone the room down.
For DIY baffles, a cheap, easy build is to buy some basic book shelves from Walmart, Target, IKEA or where ever, leave the back off of the book shelf, fill it with layers of Rockwool Safe-N-Sound (~ $80 a bag) laid flat on the shelves and then seal them front and back with the fabric of your choice (as long as it's acoustically transparent). I bought an electric Dewalt staple gun from Home Depot to secure my fabric with. They list for $69 and change.
Scatter those around the room and be amazed at the difference you'll hear. I'd recommend some 6' high book shelves for the corners. Place them diagonally in the corners. You can get some smaller book shelves maybe 4' high for other locations.
Walmart has these cheapies for less than $40.
https://www.walmart.com/ip/Mainstay...1102&sid=0157aa23-a4ce-4b50-91f3-f9e53192ca36
One thing I noticed, and I highly recommend doing, is moving your sleeper sofa (seating position) off of the back wall and into the middle of the room. 12' back from the towers and even further to the screen is too far back, and is close to the maximum viewing distance for a 75" screen.
Assuming that's a 65" TV your ideal viewing distance is between 6' 6" and 7' 4". Adjust your sofa so that NOT the front edge of the sofa, but
where your head is when seated is 6' 6" from the screen. Start with that and adjust back until you're comfortable viewing the screen.
For a 75" TV the ideal viewing distance is 7.5' to 8.4'. For comparison, in my home theater, with an 83" TV, I sit 8' 6" from the screen.
So, if your TV is 75" set your seating position (again, where your head is when seated - not the front edge of the sofa) 7' 6" from the screen and try that. Adjust forward or back until your comfortable.
Here's a handy viewing distance calculator:
https://www.the-home-cinema-guide.com/tv-viewing-distance.html#tv-distance-calculator
View attachment 14120
Since that sleeper sofa has no back you might just want to grab a chair from the kitchen or elsewhere in the house and sit in that at the optimal viewing/listening distance while watching movies or listening to music. Another option is to buy a rolling office chair that you can easily move about to sit in.
This is a quick, zero to low cost, fix that will drastically improve both your viewing experience and the acoustics of the room to your ears.
I'm familiar with Hobby Lobby. Yeah, they have some cool home decor. Home Goods is another good source if you have one close to you check it out.
FYI, I bought and used this insulation knife to cut my Rockwool with. Be careful with it! I used cut resistant gloves from work when working with it.
You can get amazing results on a budget. It's not that hard. Good Luck!