Minesh isn't available, I will take care of this thread.
I have checked it in your website, you are using bootstrap framework: hidden link
In my opinion, you can use bootstrap to setup a row with two columns:
The first column display the search result, the second column display the custom search form
To setup the row and columns, please check bootstrap document: hidden link
After looking at the third link, I tried to do it, but it doesn't work. (img1)
I have created a new page (hidden link) with one row and 2 colums.
In the first one I put my custom search view "Only the results" and the second one "Only the search form"-> "In other place on this same page"
and the result is (img2).
In one page where I have my custom search view setup (What do you want to display in this cell?,
"The search form and the results") looks like img3 (hidden link)
It is abnormal, in case it is a compatibility problem, please try these:
1) Upgrade to the latest version of Toolset plugins
2) Deactivate other plugins and switch to wordpress default theme 2017, and test again
3) If the problem still persists, please provide a database dump file (ZIP file) of your website in below "private detail box", I need to duplicate same problem and debug it in my localhost, thanks.