Is it possible with the EMD to:
1. only show verified members?
2. search for specific users?
3. make a the profiles come in a specific order, give them attribute number to show in a specific order?

1. In EMD it’s not working yet (I have a fix here : http://userproplugin.com/userpro/forums/topic/emd-and-verified-only/ )
2. You are suppose to have a default search field http://userproplugin.com/userpro/docs/#shortcode_emd
3. Option in particular you need for the list template could be as below:

list_sortby – Sort members by which rule, by default it sort members by ‘registered’ (Registration date) you can change this setting to sort members by name, e-mail, or another supported sorting method by WordPress.
list_order – By default it sorts members in descending mode, default value is ‘desc’.
Instead, in the case you are using memberlist shortcode, then option should be

sortby – By default this is set to ‘registered’ ordering members by registration date.
order – desc or asc. It means order results in Ascending vs Descending mode.

But not sure it’s working for EMD…