Search Bar to Search in Open tabs are gone After Last Update.
After Update of Brave to Version 1.82, Option to Search in opened Tabs are missing! 
It still exists. Not sure what issue you are saying you have or where it is you’re looking. But when you go to switch tabs, the search bar is right on the very top with the words Search Tabs.
Then above that on the left are the buttons for toggling between normal and private tabs. To the right of those is the buttons for Shred, History, and Tabs on Other Devices.
You can see that right in the screenshot below.
And as you can see, this is on Brave 1.82(171).
I’d be curious to see screenshots or something on your end.
Ooh, actually I think I figured it out. It’s there but some weirdness. I decided to open 100+ tabs on my iPhone and then when I went to the tab switcher it looked like it was gone. Me being me, I started testing things. To get the search tabs thing to show up, you need to scroll. It is there on top of the tabs. If you scroll down to the others, it goes away.
So what you were seeing is something like below:
If you slide “down” so that you’re reaching the top of the list, just above the tabs is the Search Tabs thing as it has always been
So it seems it’s a stationary thing and isn’t just "fixed’ on top. So depending on which tab you’re at, just means scrolling through them to get to it.
@Mattches feedback on this, maybe would be nice if they can consider modifying the UI so it stays in the screen, appears in the More part on the bottom, or there might be some button to kind of jump to the top rather than having to scroll up.
It is a bit odd and inconvenient to have to scroll past all open tabs to reach the top before a person can search.
Oh you are Right.
But I have already have more then 100 Tabs opened before the Update, and there the Search Bar Stays everytime on top. Maybee this can be fixed, like it was before.
But thanks For the workaround. 
@Fubo08 thank you for reporting this.
We’ve had a couple of other reports of this – team is looking into it presently. Will return here when I have more information or can link you to an issue.