Search by parts of Arabic word on JSON
You didn't post your HTML, but the element with the id searchBtn doesn't seem to be a button, so it shouldn't be called &quot;btn&quot; in it's id or variable name.
There are many variables that don't change their value, so you should be using const instead of let (or var).
The variables arr and searchKeyword are only used inside the event handler, so they should be declared in there and not outside.
The function getUserAsync doesn't use its parameter.
You should use the event input instead of keyup, because the value of the input can change without a keypress.
The same .replace calls are used on the keywords and the content being searched, so that should be extracted into their out function.
The requirement that only the first keyword must be longer than two characters seems a bit arbitrarily. The user won't get any results, even if there are more valid (longer) keywords, but they will get results from invalid (shorter) keywords if they are not in the first position. It probably would make more sense to filter out words shorter than three out of the list of keywords.
Using a deconstructing assignment to create variables that you don't use and in order to exclude certain object properties seems strange. It would probably make more sense to do something like:
const IGNORED_PROPERTIES = [&quot;id&quot;, &quot;DeptUrl&quot;, &quot;pid&quot; /* etc. */ ]; 
const elCompind = Object.entries(el)
  .filter(([k, v]) =&gt; !IGNORED_PROPERTIES.includes(k))
  .map(([k, v]) =&gt; v)
  .join()
  /* etc. */;

The expression checkAllWords.includes(false) ? false : true can be simplified to !checkAllWords.includes(false), however it is not necessary at all, because instead of mapping all keywords to a boolean and then checking of there is a false item, you can use the .every array method. This also has the advantage, that it will stop once a single false has been found and won't necessarily check more keywords:
return searchKeyword.every(item =&gt; elCompind.includes(item)});

(Also notice the simplified lambda.)