ichidan verb, transitive verb
praise to the skies; extol; lavish praise on
Emphatic compound of 褒める (to praise) and 上げる (to raise up), meaning to praise someone or something very highly, often excessively.
See also: 褒めちぎる (ほめちぎる)
上司は新入社員の提案を褒め上げた。
The boss lavished praise on the new employee's proposal.
評論家たちはその映画を褒め上げている。
Critics are extolling that movie.