Thanks, but I´m afraid those are the routes that would get sent to your rip neighbours. I´ve already tried to add the remote router as a known neighbour, but no luck neither, ignores the routes receives.
Okay - after playing around with RIP a bit, I can say with a little more confidence that I think your understanding of RIP is incorrect. (and I had one detail wrong as well)
My mistake was thinking that passive = "advertise-only" (similar to OSPF). It actually means "listen only"
The network statement is required in order to activate an interface with RIP. It works like OSPF's network list, NOT like BGP's network list.
In other words, interfaces whose IP addresses fall within a network=x.x.x.x/m range will become active in RIP. Just because you're seeing RIP packets in the packet captures doesn't mean that your router is actually passing them up to the RIP process. Until you activate an interface by issuing a network=x.x.x.x/m statement to cover the interface's IP address, it is NOT an active RIP interface. The interfaces list is simply a place where you set the RIP characteristics of activated interfaces.
In fact, in my lab, I only had to issue one command to start learning RIP routes from the Cisco router:
/routing rip network add network=10.1.3.0/24
(the interface between my Cisco and Mikrotik routers was 10.1.3.x/24)
As soon as I did this, the Mikrotik learned all routes from the Cisco.
Furthermore, as soon as I added other interfaces to the Mikrotik's RIP database, the Mikrotik advertised those other routes to the Cisco: as soon as I added network=10.10.10.0/24, the Cisco received 10.10.10.2/32 from the Mikrotik.
When I added the passive=yes interface command, the Mikrotik stopped sending routes to the Cisco, but continued to learn routes FROM the Cisco.
So passive means: listen for routes, but don't send anything (in addition to any other behaviors this may influence)
And the network statement is required to activate interfaces in the RIP protocol.
Final Mikrotik config:
/interface bridge
add name=Loopback
/ip address
add address=10.1.3.3/24 interface=ether2 network=10.1.3.0 comment=ToCiscoRouter
add address=10.10.10.2 interface=Loopback network=10.10.10.2
/routing rip interface
add passive=yes
/routing rip network
add network=10.1.3.0/24
add network=10.10.10.0/24