Good afternoon. Congrats on the new tank

I gather by the original post that there are no fish in the tank. Is that correct? If so, and you haven't added any pure ammonia into the tank or large shrimp or fish food then you haven't begun to cycle. I suggest taking some filter media from the established 55g filter and add it to the new filter in the 20g. Don't remove so much that it throws the 55g into a mini cycle. By adding established media it will just about give you an instant cycle. Once you add the established filter media, go ahead and add 2 or 3 mollies but I wouldn't recommend adding any more than that. Keep an eye on your ammonia,
nitrite and
nitrate readings once you do so. You want your reading to be 0 ammonia, 0 nitrites and 5-10 nitrates. Best of luck and keep us posted.
Tetra Safe Start (TSS) is a good option as well and many members here have had very good luck with it. Some have not.