Conversational grounding is the collaborative process through which speakers establish and maintain mutual understanding. It is essential for the success of a dialogue. While it is inherent in human conversations, it remains a challenge for instruction-following Large Language Models (LLM). This paper surveys how conversational grounding is evaluated in task-oriented dialogue in the current era of LLMs. First, we focus on how conversational grounding is modelled explicitly — using dialogue acts and by modelling the participant mental state. Then, we review collaborative tasks that enable the evaluation of conversational grounding implicitly at the global level based on outcomes. Finally, we highlight the limitations of evaluation, notably the current methodology and metrics used, and outline research directions in conversational grounding and its evaluation.