i Register
In some senses, mispraise is marked as archaic, rare. Watch for register when choosing this word.
verb
To praise falsely, injudiciously, or without good reason.
[T]hough I spend my nights, and dayes, and thoughts, and spirits, and words, and preaching, and writing, upon Princes, and Judges, and Magistrates . . . I have not paid a farthing of my debt to God; I have not praised him, but I have praised them, till not only my selfe, but even they, whom I have so mispraised, are the worse in the sight of God, for my over-praising.
We look upon it not so much as a strangely overpraised, but as a mispraised composition. It is a torrent of abuse.
To slander, blame, or disparage.
On hearing the Duke of Wellington mispraised he defends him, in a sonnet.