TUTORIAL ON HOMING ARROWS

Make your ranged item, create a procedure under projectile flying tick, leave it empty and lock the procedure element

After this open the locked procedure element and paste this script

Don't forget to add the package and the naming.

import net.minecraft.world.phys.Vec3;
import net.minecraft.world.phys.AABB;
import net.minecraft.world.level.LevelAccessor;
import net.minecraft.world.entity.LivingEntity;
import net.minecraft.world.entity.Entity;

import java.util.List;
import java.util.Comparator;
import java.util.stream.Collectors;

public class FlamelashWhileProjectileFlyingTickProcedure {
    public static void execute(LevelAccessor world, double x, double y, double z, Entity entity, Entity immediatesourceentity) {
        if (entity == null || immediatesourceentity == null) {
            return;
        }
        
		immediatesourceentity.setNoGravity(true);
        double range = 15;
        double speed = 2.82;

        Vec3 center = new Vec3(x, y, z);
        List<Entity> entities = world.getEntitiesOfClass(Entity.class, new AABB(center).inflate(range), e -> e instanceof LivingEntity && e != entity && e != immediatesourceentity);

        entities.sort(Comparator.comparingDouble(entityiterator -> entityiterator.distanceToSqr(center)));

        for (Entity entityiterator : entities) {
            double distance = entityiterator.distanceToSqr(immediatesourceentity);
            Vec3 direction = new Vec3(entityiterator.getX() - immediatesourceentity.getX(), entityiterator.getY() - immediatesourceentity.getY(), entityiterator.getZ() - immediatesourceentity.getZ());

            if (distance > 0) {
                direction = direction.normalize();

                double motionX = direction.x * speed / distance;
                double motionY = direction.y * speed / distance;
                double motionZ = direction.z * speed / distance;

                immediatesourceentity.setDeltaMovement(new Vec3(motionX, motionY, motionZ));
            }
        }
    }
}