The tech-speak description for this type of headphone is "circumaural," which includes any headphones with earcups that fully enclose your ears. Because of their size and their acoustic isolation, full-size headphones are often considered to be better-suited to home use rather than as a portable option, but the recent popularity of full-size, noise-canceling Beats headphones are challenging the rule.
That amp, if in good working condition, has 100 times the potential sound quality that those 2 headphones can play. You could improve the sound somewhat with a careful EQ, since the Marantz will have power reserve to spare. But I’d try to find a better headphone, and there are some bargains out there. If I were suggesting an ortho, I’d say get the lower price Mad Dog, which will give you great audiophile sound with the Marantz.
In-ear headphones are like earbuds but are an upgrade to them. These headphones fit into the wearer's ear canal and stay in place with the use of foam or rubber tips. These tips are available in custom sizes so they can fit each individual wearer. When a proper fit's achieved, in-ear headphones reduce outside noise and deliver sound quality at about the same level as over-ear and on-ear headphones.