Trying to yield some answers

Hello all I have a question concerning treasuries and yield. The yields keep rising and my understaning is yields on treasuries rise when there's less demand for safety so no one wants treasuries pushing their price down and yields up. I feel like im missing something in my understanding. People seem to be more cautious as recession fears spook people, wouldn't this push yields down as more people rush in to get treasuries and their almost equity like yields?

Thanks all and for helping me fill in gaps in my knowledge.