Assumptions
- There is less wealth in the past than in the present. This means it's always more valuable to bring something forward than to take something back.
- Physical items like old cash, art, etc. would never solve the problem as anything that looked "new" (like a shiny Roman coin from 400 BCE) would be judged a fake. From a certain point of view, the judgement is correct as age (and rarity) is part of what makes old physical things valuable.
And the biggie...
- That "value" has meaning based on our world today. You're presenting an alternate world that's so screwed up that it's frankly impossible to assume that any assignment of value today has meaning. (I thought long and hard about voting to close your question on that issue. Were it not for the objectivity of the list, below, and how it can be narrowed, I would have voted to close.) Nothing, nothing at all, is intrinsically valuable. Flood the market with antimatter and its value will drop below the price of eggs (OK, that might be a bit of an exaggeration, but you get my point). I'm going to assume that the value of substances in the world today meet your needs and that bringing back the maximum cargo won't cause the value to plummet. Those are whomping big assumptions.
So... what are the most valuable substances today?
From this article and using the 1,000 kg cargo limit from your post we learn that the 12 most valuable substances are:
- Antimatter (1,000 kg = \$62 quintillion)
- Californium (1,000 kg = \$25 trillion)
- Diamond (1,000 kg = \$50 billion)
- Tritium (1,000 kg = \$30 billion)
- Taaffeite (1,000 kg = \$20 billion)
- Painite (1,000 kg = \$9 billion)
- Plutonium (1,000 kg = \$4 billion)
- Rhinoceros’s horn (1,000 kg = \$110 million)
- Platinum (1,000 kg = \$60 million)
- Rhodium (1,000 kg = \$58 million)
- Gold (1,000 kg = \$56 million)
- Saffron (1,000 kg = \$11 million)
What can we exclude from the list?
Items 1, 2 and 4 might and do exist naturally, but in such small quantities that you'd have to mine pretty much every planet in the solar system to get a metric tonne. They are predominantly manufactured, not mined. Consequently, assuming the equipment necessary to manufacture them can be compressed into a metric tonne of cargo and the manufacturing process only needed 30 days, the only reason to travel through time is to find a safe and quiet place to manufacture. Since there's no non-story-based reason to do that, they're excluded from consideration. (Despite their overwhelming value.)
Items 5, 6 and 7 can be mined and, having the benefit of hindsight, you know exactly where to mine. But the rarity and/or dangerous nature of the substances begs whether or not it can be done in 30 days or is even worth it. Plutonium notably falls into this category. While it might be reasonable in a universe with such wanton disregard for timelines for no one to care where a tonne of plutonium came from... I suspect it isn't particularly believable.
Items 9-12 can be safely ignored because, frankly, item #8 is so easily obtained if you have 30 days at the right time that it's not even worth thinking about them.
And the winners are...
- Diamond (\$50 billion)
- Rhino horns (\$100 million)
Which one should we pick? Frankly, even if you knew exactly where to mine the diamonds (and, frankly, you do... assuming the alternate earths are a 100% geological match for this Earth), a single tonne is very likely not enough mass to represent the equipment needed to get the diamonds in just 30 days.
Therefore, the winner is...
Rhino horns.
Click to enlarge. Image courtesy Riding for Rhinos, which isn't at all a scientific site, but the graph makes enough sense to me that I'm willing to suspend my disbelief for it.
Travel back in time to a year before 1900 CE when Rhinoceros were plentiful and technology nearly non-existent to the vast plains of Africa where with a jeep, a good rifle, a chainsaw, and no conscience one could easily obtain approximately 445 Rhinoceros horns in a 30 day period (about 15 Rhinos a day, trivial compared to what antique rifled did to the American Buffalo). Leave the jeep and other equipment behind and return with the horns... bank \$110 mil.
To be fair to diamonds, it only takes 2kg of diamonds to add up to that \$110 million. It's pretty believable that you could dig up 2kg of diamonds in 30 days. In fact, if you knew where to dig, you might find it in just a week and only need to travel back far enough to be well before any of the known mines opened. But I honestly don't know if there's a place on Earth in, say, 3000 BCE that with a shovel and a wheelbarrow you could dig up 2kg of diamonds in 30 days. But it's believable.
Honorable Mention
Californium. To beat that \$110 million payoff one must only manufacture 5 grams of Californium.
Today, it takes 2 years to produce Californium and there's only two nuclear reactors in the world that can do it. But we're talking time travel here! And that's something invented in the future, not today! So we can believably rationalize a time before time travel but after today when there is a process and location somewhere that could produce 5 grams in 30 days.
Of course, what you're taking back in time is a metric tonne of firepower to hold off the world's powers for that 30 day period while you take control of the appropriate facility. But that would make an exciting story, would it not?
However, if it's indeed true that Californium could be so easily obtained (hah-hah) by jumping into the past then it's very unlikely that it would have the value stated in the list, above. Part of the reason it's so valuable is that it's so honking hard to manufacture it. Make it easy to manufacture and it's no longer as valuable. Thus, the honorable mention and not the win. Note, however, that you could use Californium as a literary Macguffin such that there happens to be a moment in time where there's 5 grams of Californium waiting to be stolen....
Why not mention Antimatter bruh?
Yes, it would take only 2 nanograms of antimatter to beat out Rhinoceros horns and one could make the same argument I just made on behalf of Californium to obtain it. But "antimatter" has been such a well-worn SciFi trope that I felt that the "reality" of the opportunity would be lost in the "perception" of the trope. I'm also a bit worried of what might happen if you haul antimatter through your time travel device. It might have... universal effects... ifyouknowwhatImean.
Go read the italicized paragraph after the Honorable Mention. It all applies here.
BY THE WAY...
Having said all that, it's likely a lot simpler to plan a heist from a De Beers vault. That's a metric tonne of cut diamonds. And, yes, there's that much in the vaults. Why waste your time trading with the locals in an alternate world or sweating away in a mining project when you can just piss on their economy and rob a boatload of diamonds? This question is ridiculously story-based. Why am I not voting to close? I've invested too much time writing the answer... but fair warning.
And having said all that...
After reading through my answer before clicking "submit" I realized that, yes, I should have voted to close this question. It doesn't matter what you choose. I can come up with a story-based explanation for why any commodity on Earth will make you the most profit. This is why we have a "Too Story-Based" closure reason. Take this for what it's worth.