How do I make routing changes persistent across reboots?

To make route entry persistent in the Linux kernel routing table, you need to modify config file as per your Linux distributions.

RHEL/CentOS/Fedora/Scientific Linux persistent routing configuration

Edit /etc/sysconfig/network and set default gateway IP address:
# vi /etc/sysconfig/network
Sample outputs:

## setup default gateway ##
GATEWAY=192.168.1.254

You can add additional static route for eth0 by editing /etc/sysconfig/network-scripts/route-eth0 file as follows:

10.0.0.0/8 via 10.10.29.65

The above config sets static routing for network 10.0.0.0/8 via 10.9.38.65 router.

Debian / Ubuntu Linux persistence static routing configuration

Edit /etc/network/interfaces file, enter:
# vi /etc/network/interfaces
Append the following in eth0 section:

up route add -net 192.168.1.0 netmask 255.255.255.0 gw 192.168.1.254
down route del -net 192.168.1.0 netmask 255.255.255.0 gw 192.168.1.254

Save and close the file.

Here is the Generic method to add persistent static routing on Linux

Edit /etc/rc.d/rc.local or /etc/rc.local, enter
# vi /etc/rc.local
Append the following line:

/sbin/ip route add 192.168.1.0/24 dev eth0

OR

/sbin/ip route add 192.168.1.0/24 dev eth0

Save and close the file in vim text editor.