The Bible says, “If God be for us, who can be against us?…Who shall lay any thing to the charge of God’s elect? It is God who justifies …Who is he that condemns?” (Rom.8:31, 33-34). He has justified and cleansed us through the blood of His Son having redeemed us from the curse of the law. We are not condemned by it. No weapon can touch the saint that puts his trust in God. Curses that are spoken cannot affect a Believer. Certainly what we see and hear can affect us if we allow it to. Your reaction to these words will make the difference. If you do not accept ill words, or give importance or merit to them they will not plague your mind to affect you. Our warfare begins in the mind. We should Believe God before we believe anyone who speaks contrary. It is God that allows the trials and the testing of our faith, not some outworking of a curse or demonic presence from our lineage.
For those who think there are curses passed on from each generation, Scripture states those who are in Christ have been delivered from all the power of darkness and the wicked one cannot touch them (Col. 1:12; 1 John 5:18). No curse can go through the cross of Christ and have dominion over those who are in Christ. We are not under a curse once we have come through the cross. Every spiritual blessing is for us who are in Christ Jesus (Eph. 1:3). Anyone that insists they are cursed needs to know who they are in Christ, and maybe who Christ is as well. “We have not received the spirit of bondage again to fear, but the Spirit of adoption, where we cry, Abba, Father!” (Rom.8:15).
These type of deliverance ministries are not bringing a stop to curses but perpetuating them. Those who impose the law and its consequences upon believers deny the power of the gospel to set them free by grace. Deliverance teachers of “generational curses” teach that Satan and his demons continue to create problems for Christians because of ones ancestors. More accurately, curses may demonically inspire fear. The church does not need to accept this; this only meant to deceive the ungrounded Christian. This teaching on curses is bringing people back into bondage and fear! We as believers “have not received a spirit of fear but power, love and a sound mind.”
Well in conclusion let us answer the question: Should Christ followers worry about generational and other types of curses?

The answer is no! However, it does not mean one should sit back and not pray against it. No it is a constant battle. Which is why when Paul was talking about the armour of God, he has an entire verse dedicate to praying without ceasing. Why? Cause it’s part of your armour!!!
So pick up your armour, put it on and fight the good fight all you good Christ following people!