I have successfully implemented Einstein bot with Skill based Routing. But when I change the routing to Omni-Channel I am not getting connected to the Bot. I use snap-ins and fill my Pre-chat page it then shows connecting to a an agent then chat gets timed out.
Check to ensure your chat button in classic is linked to your bot. Bots can only be assigned to the chat button in classic. The chat is timing out because it is being touted directly to an Omni-queue versus being intercepted by the chatbot (and then handing off).