You should be able to do this with WP_Query
‘s meta_query
parameters:
$type="something";
$programme="another";
$args = array(
'meta_query' => array(
array(
'key' => 'type',
'value' => $type,
'compare' => '='
),
array(
'key' => 'programme',
'value' => $programme,
'compare' => 'LIKE'
)
)
);
$query = new WP_Query( $args );