What does a SOC $1$ Type $2$ report contain that a SOC $1$ Type $1$ does not?

A statement that the service auditor believes the evidence obtained is sufficient and appropriate to provide a reasonable basis for an opinion.

Identification of management$$s description of the system and the criteria in its assertion.

An opinion on whether, in all material respects, based on the criteria, management$$s description of the system is fairly presented and whether the controls are suitably designed.

An opinion on the effectiveness of the controls over a period of time.