Is it possible to use Reg A+ to fund a PE firm?
Yes. And it is possible to raise far more than $50 millper year for one entity by making multiple simultaneous offerings for one entity.
This method is particularly appropriate for RollUps and Private Equity funds.
For example, let's say a PE Fund is planning to buy a series of businesses and add value to them for future sale at a profit - Private Equity. The Fund can establish say eight regions of the US and raise capital for each region simultaneously using a dedicated Reg A+ for each region. In this example, the maximum per year would be 8x50 = $400 million per year.