Apps not appearing on new computer

I want to use my adobe programs on the new computer.

But when i sign into the same account on my new computer, it only gives the option for purchase and free trial.

How do I get my programs from my old computer to my new one?

Provided are screenshots showing what they look like on both computers.

btw:
1. I checked all of the "activated devices." there are none appearing, but i still have access to programs on my old computer

2. The programs were aquired from my school paying for them, but they went to my personal gmail account, not my school account

3. Despite having access to all adobe programs, the account is listed as having a free membership.