This refers to a recognizance with conditions, so it's a specific recognizance order.
The threshold of reasonable suspicion is the imposition of recognizance on a person, or the arrest of the person as necessary. It existed in the past from 2001 to 2007 and 2013 to 2015. While this is a higher threshold than the one that currently exists, and is the one that this motion would propose should continue to exist, the “necessity to prevent” threshold could be met, for example, if it appears imminent that a terrorist activity may be carried out. It does require the police to present evidence of a greater link between the conditions or arrest and the prevention of terrorist activity.