How could Earth be propelled into a further orbit?

In my story, technologically advanced aliens create a "white hole" at the center of the sun that constantly spits out matter (hydrogen) from a parallel universe, increasing the star's mass quickly. Then, they leave without a trace. The sun is now destined to turn into a red giant in the matter of millenia.

How could Earth's orbit radius be increased slowly (several million kilometers per century) using futuristic yet realistic technology?

I have thought of creating massive caves 50-100 kilometers under the surface of the Earth and turning them into fusion chambers, building giant nozzles that end above the atmosphere to propel Earth. Or vacating a large area near the equator and detonating gigaton-magnitude bombs there regularly.

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How could Earth be propelled into a further orbit?

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