At the top of the Photo there are two Rectangles one inside the other, can you explain what that is?
Next,
WHERE ARE YOU? So, we can provide links that would be relevant to your location. Given that you partly quoted in € Euros, we assume somewhere in Europe. For Europe, I usually use Germany as the default.
Can you give a better more detailed explanation of How and Why the system will be used? You mentioned something about clients? How does that come into play? The Photo implies this is some type of Studio?
For us to truly help we need to understand the circumstance and the situation as well as you do, then we can reply in context.
What you need will depend on what you have. You have a Epson Projector, but what model? What Connections does it have? What is the source of your content -
Computer, BlueRay, DVD, Network Streaming, Other? Knowing all the components in the system will help us determine what connects to what and how.
If this is business related and applies to work you have done for a client, likely want to present it in the best possible light. Which implies a better than average sound system if you are trying to sell something.
The area set aside for listening and viewing is about 2m (6.6ft) x 4.2m (13.8ft), which appears to be to one side of a larger room.
Even in that modest space, you don't want speakers that are too tiny. My instinct is to always go with 130mm (5.25 inch) woofers or bigger.
If you are considering Edifier, though above the stated budget, consider the
Edifier R2000DB, which have two RCA analog input pairs, and Optical input with DAC plus Bluetooth capability. Also, the Edifier R2000DB have a Remote Control which is very handy. Though ... above your budget, but ver good speakers. There are many YouTube videos covering these speakers -
https://www.amazon.de/Edifier-R2000DB-Wood/dp/B06WW8N6DY/
https://www.edifier.com/gb/en/speakers/r2000db-bookshelf-speaker-bluetooth-optical-rca
Here is a similarly priced alternative that has smaller Front Speakers and a Subwoofer -
https://www.edifier.com/gb/en/speakers/s350db-bookshelf-speakers-subwoofer
https://www.amazon.de/Edifier-S350DB-Home-Entertainment-System-150W-schwarz/dp/B076HWZHW8/
Edifier does make quite a range of speakers which can be found here -
https://www.edifier.com/gb/en/speakers
Virtually all are available from AMAZON.
If the price absolutely has to come down, then the
Edifier R1280DB comes pretty close -
https://www.amazon.de/EDIFIER-Studi...rsystem-Infrarot-Fernbedienung/dp/B01NCTNZRC/
https://www.amazon.de/EDIFIER-Studio-R1280T-Lautsprechersystem-Watt/dp/B00GBN50SC/
Very flexible with a lot of connection options -
2xAux/Line, Optical, and Coaxial plus Bluetooth and Remote Control.
https://www.edifier.com/gb/en/speak...-coaxial-optical-bluetooth-bookshelf-speakers
But in terms of sound quality and best value, the more expensive R2000DB are the best choice.
Again, what you connect to where will depend on what connections you have available and where.
Most modern TVs have an Optical Digital Audio Out. That is most commonly how people get TV/Movie Sound to a Audio System of some type.
Most modern computers have HDMI (some with audio some not), USB, Analog, and Optical Audio Out capabilities.
Most BluRay/DVD have HDMI and Optical/Coaxial Out with a few that have Analog Out.
I'm curious why you bought a Projector rather than say a 55" TV? TVs are relatively cheap now with 42", 50", and 55" being very attractively priced and 60"/65" coming down substantially. No doubt a Projector will throw a pretty large image, but how large to your really need?
So, tell us the specific Model of the Projector so we can look it up and see the Connection Options?
Tell us what the source of content is?
That should get us started.
For €150/pr for active speakers or for an Amp and Speakers, while there are options, the options are pretty limited. Most good options I can think of start closer to €250.
Just a few thoughts.
Steve/bluewizard