new menu type

the Joomdle has menu type, wraper moodle, Moodle page that opens in an iframe, you could create another, for example moodle window, which open the Moodle page in a separate window?

You can configure this yourself.

Just select New window in Links settings in Joomdle configuration.

Then, if you just want a direct link, create a Joomla external link that points to Moodle siite, setting it to open in a new window.

thanks for replying, but if I do so at our moodle will not authenticate the user logged in joomla, am I right?

You will be already be logged, as SSO is managed by a user plugin, executed on login.

You can test it by logging to Joomla, and manually opening a new window with Moodle site. You should be logged in.