How to avoid voltage drop when using full bridge rectifier as reverse polarity protection
If you want to avoid the drop, you need a different device that doesn't use as diodes for current control. Diodes have a drop, the best you can do is switch to a diode that has a lower voltage drop, usually 0.2 is as good as it gets.

Mosfets have low resistances, you can either deisgn your own active rectifier by matching mosfets, or buy an active rectifier IC. Another good option is to use a gate driver IC like the LT4350


Source: Storing the charge from a MOSFET Bridge Rectifier