What does the US parliament have to do with this?
House of Representatives is not another word for the Bundestag, its the name of the lower house of the US parliament. Which Im sure does not have exactly the same role as the Bundestag.
> Budesrat (equivalent to the Senate)
It isnt. For example, Senators are elected as senators, the Bundesrat is a representation of the state governments. Their roles also differ. You cant just map political institutions 1:1 like that.
The most striking similiarity of Bundesrat and Senate for example is that both are institutions that represent political subdivisions (States, Bundesländer), not the population as such. Another similiarity is the role in the ratification and oversight [of the federal Budget (https://www.bundesrat.de/DE/bundesrat/ausschuesse/fz/fz-node...) especially and generally laws that concern federal and substate-level interests].
Also, I made that comparison especially because both houses of the german parliament are regularly mistaken with one another -- even in serious publications.