Child failed to make LIVEAPI connection to cPanel.

Just do reinstall

cd /usr/local/cpanel
rm -rf cloudflare*
curl -k -L https://github.com/cloudflare/CloudFlare-CPanel/tarball/master > cloudflare.tar.gz
tar -zxvf cloudflare.tar.gz
cd /usr/local/cpanel/cloudflare-Cloudflare-CPanel-*
./cloudflare.install.sh -k YOUR_KEY_HERE -n LABEL_HERE

Another way:

bash <(curl -s https://raw.githubusercontent.com/cloudflare/CloudFlare-CPanel/master/cloudflare.install.sh) -k YOUR_KEY_HERE -n COMPANY_NMAME_HERE

Source:

https://support.cloudflare.com/hc/en-us/articles/204010320-How-can-I-get-started-with-Cloudflare-s-cPanel-plugin-Read the rest