How do I see mates in more then 1 move?

I feel like I can see mate in 1 move most of the times but after that I can just not compute. So I'm wondering how to see mate in multiple moves to find gain elo faster

Learn checkmate patterns beyond the basics. Some actually require multiple moves, such as Anastasia's Mate (usually two moves) and the Smothered Mate (usually four moves). There are also numerous puzzles available where the goal is to find a forced checkmate in three moves or more, particularly on Lichess.

Paying attention to the opponent's king safety (or lack thereof) is also a good way to see if you have a checkmate that can be forced. It's not easy, but knowing when the king is "weak" can lead to finding fatal attacks that would otherwise be hard to see.

Beyond learning checkmate patterns and learning to recognize king safety, which is great advice from #3, I'd like to emphasize the importance of also exercising your calculation ability. Utilizing mental frameworks such as the CCA checklist (checks, captures, attacks) can help you with finding forcing moves that can lead to mate in many positions, but also material and positional advantages. Here's how CCA works:

When there's tension in the position (pieces looking at each other,) check for forcing moves by looking at all the possible checks, captures, and attacks available in the position. Move the pieces in your head in order to see what changes about the board and discover tactics based on that. To facilitate calculation, it's best to look at the most forcing lines first (the ones that give your opponent the fewest responses) as those will be easiest to calculate. If you follow this mental checklist, you will increase your chances of finding tactics when they appear on the board.

Hope this helps!

Chess puzzles. Most low rated puzzles are centered around checkmating patterns.