<https://wpml.org/forums/topic/divi-buttons-link-doesnt-have-dedicated-field-in-the-translation-editor/>
Go to WPML > Settings > Custom XML Configuration and add the following XML code:
<wpml-config>
<shortcodes>
<shortcode>
<tag>et_pb_button</tag>
<attributes>
<attribute>button_text</attribute>
<attribute>button_url</attribute>
</attributes>
</shortcode>
</shortcodes>
</wpml-config>
Code language: HTML, XML (xml)