Eating foods offered to idols and other gods

If foods are grown, harvested, stored, and sold after invoking non-Christian deities and religious practices upon them, can a Christian then partake of them?

Even if people do not know or follow the true and living Lord our God, and do not acknowledge Him and His work in their lives, He still continues to love and provide for them (Psalm 145:9; Matthew 5:45). The Psalmist says that it is the Lord God that causes the earth to produce vegetation for food for man and animals (Psalms 104:14). Along the same lines, Paul using the analogy of sowing and growth, states that no matter who does the sowing, it is God who gives the germination, growth, and fruitfulness to whatever is sown (1 Corinthians 3:6-8). So even if the farmer does some supposedly religious ceremony or idol worship, the fields will only produce, both quantitatively and qualitatively what God makes them to produce, and therefore we can rest assured that our food item has God's hand and blessings in it, no matter who has cultivated it and how.

Regarding forbidding eating things offered to idols, read 1 Corinthians 8 and 10, where Paul discusses this issue under the guidance of the Holy Spirit. Although an idol is nothing (1 Corinthians 8:4), and therefore from that point of view eating or not eating something offered to an idol is inconsequential (1 Corinthians 8:8); but basically, in forbidding eating things offered to idols, the intention is to avoid sending out any impression of veneration or acknowledgment of pagan deities(1 Corinthians 8:7), since partaking of things offered on the altar, makes one a partaker of the altar as well (1 Corinthians 10:18). The more mature Christian Believers should make sure that the weaker in faith brethren in Christ are not misled on this count (1 Corinthians 8:7, 10-13); and, it also should be clear to the un-Believers that the Believers in Christ cannot partake in the Lord’s Table as well as their table – the table of demons (1 Corinthians 10:20-21). Paul also states that if someone offers something offered to idols as a food item, and makes it known, then a Christian Believer should refuse it for the sake of that person's conscience (1 Corinthians 10:25-30); in other words, although eating of that food item would not be any different from eating of any other food item, yet in view of the special place and connotations that “offered-to-an-idol” food item has in the beliefs and conscience of the person serving it; and also to show that a Believer is separated from such things, a Christian Believer is not to partake of that food item.

So, while it is absolutely Biblical and desirable to not accept and eat things offered to idols, and this principal should always be adhered to; yet, in context of special situations like our title question, it should not be made something dogmatic for being righteous and acceptable to God – because that is only possible by the grace of God through Christ’s work on the Cross of Calvary, and not by any of our deeds, and God well knows the state of our hearts (1 Corinthians 8:3).