Solution:
Create LT tunnels for each VRF, specifying IP address from one subnet:
esr(config)# tunnel lt 1
esr(config-lt)# ip vrf forwarding vrf_1
esr(config-lt)# ip firewall disable
esr(config-lt)# ip address 192.168.0.1/30
esr(config-lt)# exit
esr(config)# tunnel lt 2
esr(config-lt)# ip vrf forwarding vrf_2
esr(config-lt)# ip firewall disable
esr(config-lt)# ip address 192.168.0.2/30
esr(config-lt)# exit
Designate LT tunnel from VRF, which is necessary to establish link with, for each LT tunnel and activate them.
esr(config)# tunnel lt 1
esr(config-lt)# peer lt 2
esr(config-lt)# enable
esr(config-lt)# exit
esr(config)# tunnel lt 2
esr(config-lt)# peer lt 1
esr(config-lt)# enable
esr(config-lt)# exit
If none of dynamic routing protocols is configured in VRF, specify static routes for each VRF:
esr(config)# ip route vrf vrf_1 0.0.0.0/0 192.168.0.2
esr(config)# ip route vrf vrf_2 0.0.0.0/0 192.168.0.1