What Factories take what product? Please add to post.

Good annswer - thank you, Kestrel.

Taking Kestrel's answer and quickly updating it to reflect the current Era layout:
--------------------

Era 1
Wood
Coal
Grain
Boards (needs: Wood)
Cattle (needs: Grain)
Cotton
Iron (needs: Coal, Iron Ore)
Leather (needs: Cattle)
Thread (needs: Cotton)
(Iron Ore - not an RG until Endgame)

Era 2
Textiles (needs: Thread)
Meat (needs: Cattle)
Hardware (needs: Coal, Iron)
Paper (needs: Wood)
Flour (needs: Grain)
Pastries (needs: Flour, Paper)
Copper Ore
Quartz

Era 3
Copper (needs: Copper Ore)
Steel (needs: Coal, Iron)
Shoes (needs: Hardware, Leather)
Glassware (needs: Quartz)
Wires (needs: Copper)
Pipes (needs: Copper, Hardware)
Packaging (needs: Boards, Paper)
Windows (needs: Boards, Glassware)

Era 4
Sheet Metal (needs: Pipes, Steel)
Silicon (needs: Quartz)
Food (needs: Meat, Pastries)
Crude Oil
Lamps (needs: Glassware, Wires)
Chemicals (needs: Crude Oil)
Clothing (needs: Shoes, Textiles)
Stainless Steel (needs: Chemicals, Steel)

Era 5
Bauxite
Machinery (needs: Pipes, Sheet Metal, Wires)
Plastics (needs: Chemicals)
Aluminium (needs: Bauxite)
Pottery (needs: Quartz)
Steel Beams (needs: Pipes, Steel)
Petrol (needs: Chemicals, Crude Oil)
Cars (needs: Lamps, Sheet Metal, Textiles, Windows)

Era 6
Household Supplies (needs: Food, Glassware, Stainless Steel)
Electronics (needs: Machinery, Plastics, Silicon)
Toys (needs: Boards, Plastics)
Sports Goods (needs: Aluminium)
Toiletries (needs: Pottery, Stainless Steel)
Pharmaceuticals (needs: Chemicals, Plastics)

Vivacia thank you for additional information.

I want to schedule the train to cattle farm. I constantly get this message:

"The goods you want to pick up from here are not yet accepted by a city/industry in your railway network."

How do I solve that?

Zele, your city needs to show cattle on its required goods (RG) list, before you can deliver them.