Evolve

I am not sure if Evacuation is required for this, but since winning Defend makes you win Evacuation, it's a moot point.

The four game modes of Evolve are Hunt, Nest, Rescue, and Defend.
You can only matchmake for Hunt or Evacuation, but I've found that sometimes if you matchmake for Hunt, other gametypes can show up.

I'm fairly certain, however, that Defend only shows up as the fifth round of Evacuation, so that is your best bet.

Evacuation always starts with Hunt and ends with Defend.
The other 3 rounds are up for vote, but can be either Hunt, Nest, or Rescue.
Your best bet is to play evacuation as the hunter. As you can't play the same gametype twice in a row, you're bound to at least play Nest or Rescue once.
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Hunt -
Monster - If you're the monster, focus on running away at least until you're level 2. From what I've seen, Wraiths have an easy time hitting 3, but they pretty much need to because of their low armor.
Unless a team of hunters is really organized, level 2 should be all you need.

Hunters - I would recommend choosing some class other than Assault as a lot of people who play this game don't seem to know how to play their role. Better to leave Assault for randoms. You want to stay together and keep the monster on the run. Only split up if it will cut off the monster (the monster will generally circle around the edge of the map.)
Communication is generally the key. I've personally found Goliaths to be the easiest monsters to beat. Most players (at least in the early period) seem to be too cocky as the monster.
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Nest -
Monster - The general strategy is to get to Stage 2, hatch a minion, and then attack the survivors. The minion you hatch will run straight for the survivors, so make sure you follow it.

Hunters - I generally completely ignore the monster and focus on the eggs. Even if the monster is doing as I said above and focusing on defending one egg, you can try to lead him away while someone kills it. I've also had plenty of times where the monster has hatched the last egg, meaning all you need to do to win is kill the baby goliath.
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Rescue -
Monster - Don't get too caught up in attacking the survivors if the hunters are defending them. I've had so many monsters get killed just because they try to beat up a survivor while the hunters lay down the fire on them. This is a very difficult gametype to win as the monster if you don't find the survivors first. I have had plenty of times though where people have put up mobile arenas and the survivors don't move since they can't reach their dropship. This can be a good time to kill them. Unless you reach the first group fairly early, spend the time to get to Stage 2 and then try to hunt down the other 2 groups before the hunters can reach them. If they have Lazarus, the survivor bodies don't last very long, so just make sure you camp them out for about 10 seconds or eat them.

Hunters - Pretty easy as hunters. There are 9 survivors and you only have to save 5. Unless the monster finds the survivors first you should be fine. Make sure you don't cut off the survivors in a mobile arena.
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Defend -
Monster - Honestly this is an uphill battle for the monster. The only real tip I can give is to work with your mini-goliaths. Goliath is probably the best 'class' for this gametype as the survivors will be bunkered up so you need the health.

Humans - Fairly easy as the humans, just focus your AOE if the enemy attacks together. Have yet to lose this gametype as a hunter.

Just to add, this can be done with a party in Custom. Myself and a group did this in a session recently and we all got it by the 4th match.

Evacuation is not necessary for this; you can just do Hunt, Defend, Rescue, and Nest.