Joachim Raff and Giacomo Meyerbeer are examples of the kind of composer who receives popular acclaim while living, often goes into decline after death, and never regains popularity again.
often goes into decline after death, and never regains popularity again
whose reputation declines after death and never regains its status again
but whose reputation declines after death and never regains its former status
who declines in reputation after death and who never regained popularity again
then has declined in reputation after death and never regained popularity
"... declines in reputation" is not idiomatic.
... and even if you don't realize that, you can just take a cue from the fact that "receives" is in the present tense in the non-underlined part.
the other two verbs are part of exactly the same type of description, so they should appear in the same tense.
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