You can view backup status and the last backup time of a virtual machine in vSphere Client.
This information appears in the virtual machine summary (Summary > Custom attributes/Annotations/Notes, depending on the client type and vSphere version). You can also enable the Last backup and Backup status columns on the Virtual Machines tab for any host, datacenter, folder, resource pool, or the entire vCenter Server.
To provide these attributes, Agent for VMware must have the following privileges in addition to those described in "Agent for VMware - necessary privileges":