There are a few metrics I can think of, though without more specifics from the question it's hard to know which particular programs to check.
Patents granted, papers published, conference presentation - the standard ways of measuring academic progress would apply.
In terms of just measuring whether the projects are successful there are a few papers out there - this might be useful: https://www.researchgate.net/publication/320762746/download
In general, a public-private partnership scheme can be described as successful if it offer greater value-for-money, provide
adequate financial return to the private investor (Ng et al. 2010), cost savings (Hambros 1999), reduction in construction time,
maintaining a high level of service quality (Akintoye et al. 2003) and satisfying the stakeholders (Leung et al. 2004; Udayangani
et al. 2011).