I was able to appreciate the bitter taste of beer after I became a grown-up.
I came to like the bitter taste of beer when I became an adult.
ご質問ありがとうございます。
① "I was able to appreciate the bitter taste of beer after I became a grown-up."=「大人になってからビールの苦い味を美味しいと思えるようになりました。」
② "I came to like the bitter taste of beer when I became an adult."=「大人になって、ビールの苦い味が好きになりました。」
ご参考までに。