I can't tell the difference between the finishes from the photos, but maybe you could spray paint one (or both) so the finishes match? Other than that I don't think it is so necessary to have matching curtain rods.

From the picture it appears that the two rooms flow into each other and are visually open to one another, that is, there is not a distinct door (ie that could be closed) between them. To me a dining room with a large arch like this into the living room, is an extension of the living space and should hang together as such. For example, you might pick a different wall color for each of these rooms, but you would want them to visually coordinate. For a bedroom, on the other hand, you might feel more free to choose a completely different palette because it is clearly a separate space. Double drapes in one room and single in the other is fine, but I would have coordinating rods and drapery in the two rooms pictured.

The curtain rods look fine, but I'd have a different coloured curtain in each room though. The ones you've got look too similar in colour to reinforce the separate room/feel.

Apart from that, once you unpack all those boxes and get everything settled into it its right home, you should also feel right at home.

I agree with emu...you might be focusing on the rods because the rooms aren't unpacked giving you less to focus on. I'd get all settled in and then think about it. But from the pics, I doubt I would have noticed it.

i also agree with emu.legs. either have the two windows match almost completely, or embrace the differences and let the curtains be completely different (yet still coordinating). it's when it's caught in the middle where things get muddled. that being said, i don't think it's a huge offense to keep them as is until you get unpacked and have a better idea of flow and layout and design.

I had to laugh when I realized the only thing unpacked is the bar! I don't think the curtain rods are a problem.

The curtains are hung too low and the color of the curtains are too heavy for the room. Also, the fact that one set are grommet and the other is not is distracting since you can see both sets of curtains from both rooms. Because both sets are essentially the same color and hung at the same height but different sliding in mechanisms (grommet vs other ?), the eye is immediately drawn to the difference(s) in the two.

This may seem too simple for all the above suggestions, but I think switching the curtains on the rods. The grommet curtains should be on the heavier looking bar. The airier curtains should be on the bar with the twirly ends. just my 2 cents. good luck!!

and as previously stated...put them both higher above the windows... which may result in having to get longer curtains.

In this instance, where the two rooms open up to one another and therefore need to feel more cohesive, I would definitely keep the rods and window treatments the same in both spaces. This will give a much better flow for both of the rooms, make the space seem larger and more cohesive. Right now it's just not flowing nicely. The actual curtains wouldn't need to be exactly the same fabric but should be the same design (if you use grommets in the living room then grommets should also be used in the dining room) but at the very least the fabric on both DR and LR curtains should coordinate. You could change things up in a separate room with a door such as a bedroom but when you have two spaces that open up to each other through an arched doorway it is most pleasing to the eye to keep those two spaces cohesive.

Agree with EMU.LEGS. If you are still unhappy once you unpacked and put everything in order, as someone else suggested, paint them the same color.
Nice Apt. by the way.

A fourthtuple on emu's suggestion. In general, I think the best thing for connected spaces is either to treat them as one (as suggested by lillie) or to treat them as variations on a similar theme. In my house, I have an earthy grey and earthy green in adjoining rooms, with curtains made from the same fabric but different colors (to complement the different wall colors) and the same curtain rods. They both have the same sheers, as well, to tie them together.

I had the same thought: the more flowy curtains should be on the more dainty curtain rod. I don't think the curtain rods are a problem, but I can see how the "almost alike" situation would look wrong. Like you couldn't quite decide if these rooms were one space or two.

I agree with many of the others - I would definitely try switching the rods (airy to airy, heavy to heavy) as an immediate fix. And then finish unpacking and getting some art on the walls before dealing with the curtains. See how you like it. You may want something totally different on both windows by then.

Having different rods in different rooms seems perfectly normal to me. I have different rods in the same room, even. One over an archway into the hall and different kind over the windows--same color & materials, but different finials. I think it adds charm and interest.