“What is a “non-assignable and exclusive easement for ingress and egress over and across the following described lands:…” ??”

Easement: right to use land you don’t own.

For ingress and egress: to get in and out.

Exclusive: you have the right to exclude other people (including the owner of the land you are going across).

Non-assignable: you can’t transfer this right to someone else.