What you want is called source policy routing. Instructions for configuring source policy routing can be found here in the Linux Advanced Routing & Traffic Control HOWTO.
The crux of it is that you want to add a new routing table to your system with a name like INET2 (these commands must be run as root):
echo 200 INET2 >> /etc/iproute2/rt_tables
Then you want to add a source rule to the main IP routing table (I'm guessing this is a /24 network):
ip rule add from 192.168.1.0/24 table INET2
Next you need to assign a default route for the INET2 table (you did not mention the default gateway for your second connection so I'm guessing here):
ip route add default via 192.168.2.253 dev eth0:1 table INET2
Lastly, you need to flush the route cache on the system:
ip route flush cache
Rules created this way are ephemeral and will disappear when the system is restarted (though the INET2 table will persist) so you'll need to put the rules into a startup script for the network interface. Exactly how to do this depends on your particular distribution of Linux and is really another question.