Training of preexisting LLM models that I'm familiar with consists of two aspects/sides/options: fine-tuning the model with additional, domain specific data (like internal company documentation) and RLHF (like comparing model responses to customer service actual responses) to further improve how well it's using that and original resources it has access to. That's how https://github.com/CarperAI sets up the process, for example.
What you're describing seems closer to the latter, but I'm not entirely sure if you're following the same structure at all.