JSFiddle - React, Tailwind, and code Playground
HTML
<input type="date" name="date" id="date_input" value="<?php echo $_GET['date']; ?>" class="date">
<a href="shopping_list.php?page_id=1&title=<?php echo $_GET['title']; ?>&date=" id="back_button">Back</a>
JavaScript
$("#date_input").on("change", function(){
$("#back_button").attr("href", "shopping_list.php?page_id=1&title=<?php echo $_GET['title']; ?>&date="+this.value);
});