The MH-60R was originally known as “LAMPS Mark III Block II Upgrade” when development began in 1993 with Lockheed Martin (formerly IBM/Loral).
Two SH-60Bs were converted by Sikorsky, the first of which made its maiden flight on 22 December 1999.
Designated YSH-60R, they were delivered to NAS Patuxent River in 2001 for flight testing.
The production variant was redesignated MH-60R to match its multi-mission capability.
The MH-60R was formally deployed by the US Navy in 2006.

The MH-60R is designed to combine the features of the SH-60B and SH-60F.
Its sensors include the ASE package, MTS-FLIR, the AN/APS-147 multi-mode radar/IFF interrogator, an advanced airborne fleet data link, and a more advanced airborne active low frequency sonar (ALFS).
It does not carry the MAD suite.
Pilot instrumentation is based on a fully integrated glass cockpit, using several digital monitors instead of the complex array of dials and gauges in Bravo and Foxtrot aircraft.
Offensive capabilities are improved by the addition of new Mk-54 air-launched torpedoes and Hellfire missiles.
All Helicopter Anti-Submarine Light (HSL) squadrons that receive the Romeo are redesignated Helicopter, Strike Maritime (HSM) squadrons.
During a mid-life technology insertion project, the MH-60R fleet shall be fitted with the AN/APS-153 Multi-Mode Radar with Automatic Radar Periscope Detection and Discrimination (ARPDD) capability.

Source & more info: wikipedia.org