uSDHC means Ultra Secured Digital Host Controller, for uSDHC detailed information, one can refer to the Chapter 67
Ultra Secured Digital Host Controller (uSDHC) as below,
https://www.nxp.com/docs/en/reference-manual/IMX6DQRM.pdf
for eSDHC, one can refer to the chapter 29 Enhanced Secured Digital Host Controller
https://www.nxp.com/docs/en/reference-manual/iMX53RM.pdf
one can compare with them in every detail