It looks like this product offers speech-to-text transcription of a video and then does some kind of static analysis on the script, similar to grammarly but I guess they will have suggestions more tailored to spoken rather than written text. I don't know where the AI bit comes in other than to perform the transcription, which there are other products on the market that do this. They probably use some kind of commercially available speech to text service like https://aws.amazon.com/transcribe/ under the hood to perform this.

I reckon the partnership is to offer toastmasters members a discount code for the product, or yoodli are starting some kind of integration with Toastmasters pathways which offers their courses as part of the pathway