Try not to make things up, just to win, next time you have an argument.
I'm not saying Sidious didn't drive Yoda back. But if Sidious could have killed Yoda, he would. So, no, "toying" is you making things up.
Rayla didn't make anything up. It was all fact. Sidious was toying with Yoda. To what degree? A fairly good degree. He was in complete control of the battle. Yoda could not win and they both knew it. That's why Yoda fled. He chose to live to fight another day.