[What order does the earth’s biosphere gain at what cost in order from the Sun? ]
Plant growth is a process that results in a net gain in order; and that process (photosynthesis) is powered by energy (sun light) made available via nuclear decay within the Sun.
The Sun decays, and plants grow - all obediently within the laws of Thermodynamics.
Unfortunately Bill, plant growth is the result of the information present in plant DNA and the order present in plant cellular structure using that energy. Without that, no order is 'transferred' from the sun to the earth.
And, the power source of the sun is assumed to be nuclear fusion. Not typically referred to as 'nuclear decay'.
"The Sun decays, and plants grow - all obediently within the laws of Thermodynamics."
Yes, it's that plant DNA and those cellular processes that you just assume have evolved that make all the difference. That is the fallacy of affirming the consequent, however. We don't see plants being spontaneously generated because of electromagnetic energy received from the sun. What we do see is that evolutionary believers start quoting facts that don't even support their beliefs without engaging in logical fallacy.