This paper studies improving a keyword recommendation system to improve the performance of eBay sellers' advertising campaigns. Because the existing embedding-based retrieval (EBR) model suffers from click data bias, we propose a two-step LLM distillation process that utilizes a large-scale language model (LLM) as a judge to remove this bias. First, we extract knowledge from the LLM judger using a cross-encoder as an intermediate step, and then distill this knowledge into a bi-encoder model through multi-task learning. Finally, we use the distilled bi-encoder model to recommend relevant keywords to sellers. Experimental results demonstrate that the proposed method improves the performance of the bi-encoder, which searches for relevant keywords for sellers on eBay.