If the term in question is used in the context where the democracy is burgeoning, you can use "the burgeoniong spirit". Otherwide, "the spirit" may be sufficient.

I think that "息吹" usually implies improvement from a negative, comparatively lifeless or listless state, so in this case it sounds as though democracy, which was previously moribund or stagnant, is now showing signs of improvement, evidence of increased vigor/liveliness, or new signs of life.

If it is an inanimate or abstract object that is doing the "伝える", then in place of "communicating" one could write "conveying".

Depending on the context, "Communicating the appearance of signs of new life in" could perhaps be simplified to something like "shows that there are new signs of life in ___".

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ビジネス技術実用英語大辞典V6

いぶき【息吹】
put new life into the stagnant economy

足踏み状態の景気に新しい生命［息吹, 生気］を吹き込む; 停滞した経済を活気づける［活性化する］

The US President's gorgeous wife Michelle Obama brings a breath of fresh air to the world of politics.

米大統領の素晴らしいミシェル・オバマ夫人は, 政治の世界に新鮮な息吹をもたらす.

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新和英大辞典第５版

●彼はその国で新しい時代の息吹にふれた. In that country he saw indications of the dawn of a new age.

I think "show signs of life" might be a good option.