What was the term used by Southerners for a return to Democratic, white
rule?

Redemption      

Explanation:

The Southerners use the term redemption (redeemers) for the return of the white rule in the South after the Civil War in America. They were the Southern democrat's wing which was part of the democratic party in the South. Redeemers tried to recover their political power to control the South. They were also against the carpetbaggers, scalawags, and some of the Republican people who control the Reconstruction era which began in 1867-68.      

omg i dont know oops sorry

regarding the law, the 15th amendment was specifically designed thinking in the rights of black free men.

even though ratified on february 3, 1870, the promise of the 15th amendment would not be fully applied for a long time.poll taxes and literacy tests would allow southern states disenfranchise african americans. only in 1965 the voting rights for african americans would be actually able to vote in the south.

in 1965, president johnson signed the voting rights act, which aimed to overcome legal barriers that prevented african americans from voting as it was guaranteed by the 15th amendment to the u.s. constitution.