〜ばかりだ
keeps getting (worse); all that's left is
Verb dictionary form + ばかりだ
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After a verb of change, ばかりだ describes a trend that keeps going in one direction, usually a bad one: 病状は悪くなるばかりだ, "the patient's condition just keeps getting worse". It's very close to 一方だ (N3).
In the middle of a sentence, it's ばかりで: 仕事は増えるばかりで、ちっとも減らない.
With あとは, it means "all that's left is": あとは結果を待つばかりだ, "all that's left is to wait for the results". Everything else is done.
Don't confuse it with ばかりか ("not only") or たばかり (N4, "just did"). With the dictionary form and だ, it's a trend or the only remaining step.
Examples
病状は悪くなるばかりだ。
The patient's condition just keeps getting worse.
物価は上がるばかりだ。
Prices just keep rising.
仕事は増えるばかりで、ちっとも減らない。
The work just keeps piling up and never goes down.
あとは結果を待つばかりだ。
All that's left is to wait for the results.
準備はできて、あとは出発するばかりだ。
Everything's ready; all that's left is to set off.