1625 Relieved Genoa under siege from the France and the Duchy of Savoy. His action was immortalized in the painting Relief of Genoa by the Marquess of Santa Cruz (1634) by Antonio de Pereda
1636 He fought under Melchor de Borja in Corsica, defeating a fleet of Dutch galleons.
He was married in 1590, in Almagro, Spain, to Guiomar Manrique de Lara. Their descendants included two sons and five daughters.
The evolution of the title since the middle of the 17th century
Mauro Alvaro, the eldest male, was 3rd Marques, marrying on 22 October 1627, Genoese noble woman Maria Francesca Doria, a daughter of Carlo I Doria del Carretto, 1st Duke of Tursi, a Grandee of Spain with many other lesser titles, (Genoa, Italy, 15 October 1576 – Genoa, Italy, 19 December 1649) and Placidia Spinola, (1584–1660), 2nd Marchioness of Calice and Veppo, between other titles. No surviving adult issue.
Thus, the title of Marquess of Santa Cruz became attached to a branch of the Pimentel family, a female called Mencia Pimentel y Bazan. When she married a "Benavides" male, it was agreed by the couple that if they had a male, the male child would be named Francisco Diego de Bazan y Benavides to honor her ancestors and "recuperate" her ancestors name, something not uncommon between the High Spanish Nobility.
In fact, a son was born and named Francisco de Bazan y Benavides (died in 1680). He was Captain General of the Spanish galleys and Viceroy of Sicily, (1674 Interim), using always his mother's ancestors' family name, "Bazán", as a token of respect, and possibly, duty.