In the French version it would read as follows:
[...] in accordance with terms and conditions approved by the Treasury Board and in accordance with the priorities established by the provinces.
The idea is to always take into account the priorities established by each of the provinces. For us, in the Bloc Québécois, it would ensure that Quebec's priorities are being well considered. It also applies to all provinces. I do not know if my colleague will agree to the addition to his amendment.