Echo the jobs by an user?

I assume you mean independent from the “my jobs” page and public? This doesn’t exist right now as a shortcode, so you would need a get_posts query. This is one from core:

$args = apply_filters( 'job_manager_get_dashboard_jobs_args', array(
			'post_type'           => 'job_listing',
			'post_status'         => array( 'publish', 'expired', 'pending' ),
			'ignore_sticky_posts' => 1,
			'posts_per_page'      => -1,
			'orderby'             => 'date',
			'order'               => 'desc',
			'author'              => PUT_USER_ID_HERE
		) );

		$jobs = get_posts( $args );

That will return or jobs for a user if you replace ‘PUT_USER_ID_HERE’ with the user profile ID.

But I want this code in every single Member side, what can I Do with the PUT_USER_ID_HERE then?

A little more thinking about this, a shortcode probably wouldn’t work anyway because you need a dynamic user ID (so you can query the user you are viewing).

So the above code could be built into a template for example.

I’m not fully familiar with Buddypress – I would imagine it has a function to get the user ID for whomever you are viewing?