How to add a Fliter in a report that is called inside HTML page

How to add a Fliter in a report that is called inside HTML page

My Dashboard has a search on top where user can search record by entering ID called as "Request ID". It opens REPORT for the entered ID but there is an ADD record button on bottom-left which I don't want them to see, although records can be added by them. Its because When + (plus) button is clicked it opens FORM directly but this FORM is being displayed to them under a page which is customized so plus button open Form that is not customized (missing HTML code).

So I want when they search Request ID from Dashboard, it should open report without + (Plus button),
I display report that is called inside page where I have hidden ADD button, this is the page where I am trying to redirect them via filter-applied based on the search made, but I can't achieve same when search is performed from Dashboard.

Note:(1) HTML view is out of option. (2)Please see attached screenshots. (3)Feel free to ask for any clarification if any.