Actually. In Dragon Age: Origins, there's five HIGH dragons. Technically, one is a shape shifting witch and another is a supernatural being but they're there. You obviously only played the game once and didn't tackle or discover optional quests and parts of the game. Further more, there's LOADS of small dragons and male dragons (which are smaller than high dragons but they do have wings and appear a few times). The name "Dragon Age" is actually named after one of the ages as each age in the Thedas universe is named after something. You have Divine Age, Golden Age and so on. It's also rumored that dragons play an even more important role in future Dragon Age games as Sandal's prophecy in Dragon Age 2 mentions them and a Bioware developer confirmed Sandal and his prophecy were important. There was also a concept art release recently showing Hawke riding a dragon.

Dragon Age also takes after D&D and Baldur's Gate. Yes, you have three classes (though in BG and other D&D games, you have more) but the specializations allow you to make your class unique. By learning the arcane warrior ability, you can be a mage who wears armor and wields a huge bastard sword. The warrior specializations in Awakening also allow you to make a warrior who uses magical abilities.

Dragon Age also isn't an open world game like Divinity 2 and doesn't boast such. It's a game where characters and the story are focused on. Previous areas get closed for a reason but most remain open. In terms of characters, Dragon Age does it better than Divinity 2 as your companions have different personalities and morals and always have something to say and develop throughout the game whereas characters in Divinity 2 aren't memorable save for Zandalor, Damien and The Divine. Dragon Age also does the combat better and allows you to combine abilities to do anything. You can also combine spells to create unique effects on enemies and basically "play" with them by caging them up, stunning them, putting them to sleep, slowing them down or knocking them over with a fireball spell which is certainly more impressive than Divinity 2's fireball spell.

Divinity 2 is an action-RPG focusing on free exploration, questing and looting whereas Origins is a traditional RPG, focusing on role playing, story and characters. In my opinion, Dragon Age: Origins wins.

If we're talking about Dragon Age 2 though, then Divinity 2 beats it.