It isn't 'supposed' to flow. You don't need to enter each/every F 1099. Run a tape on them, then enter the total on the appropriate form where the income should be reported.
The specific info of each F 1099 isn't needed by the IRS; they already have it.
To answer your question you have to double click and link it to the sch C or F or E when you input the info on the 1099-NEC not a 1099-Misc.... but its all the same, they have to be link to the appropriate schedule, if your an experienced preparer you should know where it goes and "NEVER" (SHOUTING) rely on software!!!! I too like to use Caps and got shouted at for it!! lol
ProConnect has also gotten much better at giving screen-specific guidance. See the screenshots below for where you can click for guidance. The answer you are looking for can be found right there on the input screen.
---------------------------------------------------------------------------------Still an AllStar