Learn Turkish: Yeni koordinatör ihaleyi kazanmak için fiyatı düşürüverdi. - The new coordinator quickly dropped the price in order to win the tender.

It uses the quickness suffix -(i)vermek. When you attach -ıvermek, -ivermek, -uvermek, or -üvermek to a verb stem, it shows that the action was done suddenly, rapidly, or effortlessly. Here, it is added to düşürmek (to drop) to show the coordinator dropped the price without hesitation.

What is the difference between düşüverdi and düşürüverdi?

Düşmek is an intransitive verb meaning "to fall" (for example, if the price fell on its own). Düşürmek is the causative form, meaning "to drop" or "to lower" something. Because the coordinator actively lowered the price, we must use the causative stem düşür- before adding the quickness suffix -üvermek and the past tense -di.

Why does ihale take the accusative suffix -(y)i if it's the object of the infinitive kazanmak?

Even though kazanmak is an infinitive (a dictionary-form verb), it still governs its own objects just like a regular conjugated verb. Because the sentence refers to winning a specific tender rather than "tender-winning" in general, ihale (tender) takes the definite accusative suffix -(y)i to become ihaleyi.

Could we change the word order to Yeni koordinatör fiyatı ihaleyi kazanmak için düşürüverdi?