$(".tabs > .team-member-name").each(function() {
$(this).prependTo($(this).siblings(".team-member-description"));
});
.team-member-description {
border: 1px solid red;
}
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script>
<div class="tabs">
<div class="team-member-name">Mirko</div>
<div class="team-member-description">
<p>Text</p>
</div>
</div>
<div class="tabs">
<div class="team-member-name">Marko</div>
<div class="team-member-description">
<p>Text</p>
</div>
</div>