UPD: VulkanMod is incompatible with Quilt. I just uninstalled it and now everything works fine.
UPD2: It doesn’t work fine. When I try to create a new world, it just crashes.
UPD3: I updated every mod to the latest version, but the game still kept crashing. I decided to move every mod to other folder and after that I moved them back one by one. I figured out that YUNG’s mods were the reason of these errors.