`usepackage{emptypage}` for odd pages

We have no idea about the template (class? package?) provided by your institute. Do you have to use it?

In the book class by default chapters start on recto (odd-numbered) pages while in the report class they start on the next page. These can be altered by using class options openright (default for book) or openany (default for report). Perhaps you could use the openright option if your template allows it.

Based on @leandriis comment here is a book class MWE that meets your requirements for keeping constant placement of the text block.

% emptypageprob.tex  SE 590216
documentclass[twoside]{book}
usepackage{emptypage}
usepackage{lipsum}

% make the margins equal (could use the geometry package instead)
addtolength{oddsidemargin}{evensidemargin}
setlength{oddsidemargin}{0.5oddsidemargin}
setlength{evensidemargin}{oddsidemargin}

begin{document}
chapter{First}
lipsum
chapter{Second}
lipsum[1]
chapter{Third}
lipsum[1]
chapter{Fourth}
lipsum
end{document}