You mentioned /etc/network/interfaces, so it's a Debian system...
Create a named routing table. As an example, I have used the name, "mgmt," below.
echo '200 mgmt' >> /etc/iproute2/rt_tables
Above, the kernel supports many routing tables and refers to these by unique integers numbered 0-255. A name, mgmt, is also defined for the table.
Below, a look at a default /etc/iproute2/rt_tables follows, showing that some numbers are reserved. The choice in this answer of 200 is arbitrary; one might use any number that is not already in use, 1-252.
#
# reserved values
#
255 local
254 main
253 default
0 unspec
#
# local
#
Below, a Debian 7/8 interfaces file defines eth0 and eth1. eth1 is the 172 network. eth0 could use DHCP as well. 172.16.100.10 is the IP address to assign to eth1. 172.16.100.1 is the IP address of the router.
source /etc/network/interfaces.d/*
The loopback network interface
auto lo
iface lo inet loopback
The production network interface
auto eth0
allow-hotplug eth0
iface eth0 inet dhcp
Remove the stanzas below if using DHCP.
iface eth0 inet static
address 10.10.10.140
netmask 255.255.255.0
gateway 10.10.10.1
The management network interface
auto eth1
allow-hotplug eth1
iface eth1 inet static
address 172.16.100.10
netmask 255.255.255.0
post-up ip route add 172.16.100.0/24 dev eth1 src 172.16.100.10 table mgmt
post-up ip route add default via 172.16.100.1 dev eth1 table mgmt
post-up ip rule add from 172.16.100.10/32 table mgmt
post-up ip rule add to 172.16.100.10/32 table mgmt
Reboot or restart networking.
Update - Expounding on EL
I noticed in a comment that you were "wondering for RHEL as well."
In Enterprise Linux ("EL" - RHEL/CentOS/et al), create a named routing table as mentioned, above.
The EL /etc/sysconfig/network file:
NETWORKING=yes
HOSTNAME=host.sld.tld
GATEWAY=10.10.10.1
The EL /etc/sysconfig/network-scripts/ifcfg-eth0 file, using a static configuration (without NetworkManager and not specifying "HWADDR" and "UUID" for the example, below) follows.
DEVICE=eth0
TYPE=Ethernet
ONBOOT=yes
NM_CONTROLLED=no
BOOTPROTOCOL=none
IPADDR=10.10.10.140
NETMASK=255.255.255.0
NETWORK=10.10.10.0
BROADCAST=10.10.10.255
THE EL /etc/sysconfig/network-scripts/ifcfg-eth1 file (without NetworkManager and not specifying "HWADDR" and "UUID" for the example, below) follows.
DEVICE=eth1
TYPE=Ethernet
ONBOOT=yes
NM_CONTROLLED=no
BOOTPROTOCOL=none
IPADDR=172.16.100.10
NETMASK=255.255.255.0
NETWORK=172.16.100.0
BROADCAST=172.16.100.255
The EL /etc/sysconfig/network-scripts/route-eth1 file:
172.16.100.0/24 dev eth1 table mgmt
default via 172.16.100.1 dev eth1 table mgmt
The EL /etc/sysconfig/network-scripts/rule-eth1 file:
from 172.16.100.0/24 lookup mgmt
Update for RHEL8
This method described above works with RHEL 6 & RHEL 7 as well as the derivatives, but for RHEL 8 and derivatives, one must first install network-scripts to use the method described above.
dnf install network-scripts
The installation produces a warning that network-scripts will be removed in one of the next major releases of RHEL and that NetworkManager provides ifup/ifdown scripts as well.
ip route add <network> via <IP> dev <DEV>instead of net-tools commands (ifconfig, route etc.) – AdamKalisz Apr 24 '20 at 14:22