while using NetworkManager use nm-connection-editor to import both connections, configure openvpn to pass DNS names and
all !! search domains required (alternatively update DNS and search-domains in "nm" dialog)
while using scripts or directly updating /etc/resolv.conf (over /sbin/resolvconf) then call /etc/openvpn/update-resolv-conf script as a part of up/down .ovpn conf)