2-channel light controller issue

Hi, I just installed HA and add ZigBee 2-channel light controller. I can on and off lights but when I turn on first channel second one is turning on as well. I can not control them separately.
My controller is kind off:

Are you sure the picture is correct? To me this seems like a single channel controller.

Picture is just to show that is cheap controller from aliexpress. I have 2 channel controller

It would probably help if you explained how you have connected everything and what kind of controller it is.

That is the switch which I have

and it is connect like that

Common problem with Tuya stuff unfortunately. Both switches point to the same cluster/endpoint & end up controlling each other.

There's other similar topics if you search these forums & zigbee-herdsman on github. Unfortunately the solution to this is to create your own custom quirk or adapt an existing one to use your model, which is quite a stretch if you're just starting out.

Alternatively, replace the switch with a more reputable brand and use this one in your single switches.

Thanks - what switches are you recommend then?

I don't own any 2-channel relays for lights - I use zigbee switches, so can't make a recommendation.

Having said that, you could use the Aqara T2 relay, which works fine according to reports, though is more expensive. Alternatively, bite the bullet & switch to Zigbee2Mqtt - there's a good chance the issue with your relay is resolved there.
I can check for you if you give me the model number (not the MINI-Z1_2CH model in the picture - the model shown in the device page in HA. Something like _TZ3000_lmlsduws)