How about they actually fund something really worthy of preservation? Of course it is archive.org role to reach out first. For example EU could fund an archive.org mirror in the EU (with certain throughout etc).
Of course opponents of public/government funding have a very good point in that many organisations when they get public money, they find a way to burn through all of it in a lot less efficient way. This can be mitigated by attaching concrete conditions to the grants. One example is a mirror in a specific location.