Interesting idea to have a re-searchable technology that would improve production.
My thought would be 5% improvement per level EJ, as 2% isn't much.
So you could research:
Advanced production Level 1 for +5%
Advanced production Level 2 for +10%
Advanced production Level 3 for +15%
Advanced production Level 4 for +20%
Advanced production Level 5 for +25%
Essentially working the same way that an industrial complex works on increasing production, but through research and across all provinces.
In particular it would be a way later in the game to improve production after the cores were all built up to level 3 infra and level 5 industry.