welcome to FT
i just know that alcoholic drinks are free and that usually you should have no problems finding your connecting flight in MUC. same terminal, you need to do immigration into "Europe/Schengen" at MUC but bags go through to FLR.
don't know specific places other than lounges at MUC T2, but i think there are plenty of restaurants etc. you will also have racks with free newspapers and free coffee/tea near most gates.
just forgot: you could also leave transit area and head to the beergarden within the airport. they brew their own beer at airbraeu and offer a decent weisswurstfruehstueck (typical Bavarian sausages). if you have 2-3 hours, that should be plenty of time for that