I never keep track of that but I keep track of how fast I can win since it affects the final score

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For the beakers/turn, besides the obvious factor of more cities, more cottages, many significant factors depend on luck:
1) have a good location for the designated superscience city early in the game.
2) have a holy shrine for a religion which is widely adopted, allowing you to crank up the slide to 90% or 100% research.
3) have a nearby REX neighbor who is easy to eliminate since they spend all their time building settlers and warriors while you spend time building warriors and some economic, allowing you to have a lot more cities to start with at little cost while still have the economic structures in place (the highly-promoted warriors which allow you to get more cities later are extra bonus).
4) play as a financial/organized civ.

5) Do not have the civs with the nasty world spells in the game (stasis, river of blood).
6) Do not have to deal with an aggressive civ like the Clan who happens to be lucky enough to eliminate a civ or two early and becomes very strong.
Out of curiosity, I looked in some of my old save files. I got one playing as Arendel. At turn 255 and 70% research, I got 19 gold surplus and 1146 beakers per turn. I was on Monarch level in that game. I just checked that I was on golden age though, not sure what I would have for beakers without that. On the other hand, I have already eliminated one civ, had 3 vassals, had a lot of newly-captured cities which hurt maintenance forcing me to lower the research slide. I was a few turn away from winning and that's the main thing

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If you play as Liosafar, you can afford to build cottages everywhere early on and still have good food and hammer production. In terms of gold production, it's hard to beat having cottages on all the tiles you own except gold/silver/gem mines and some essential resources. I put forest and cottages on resources I don't need also.