B757 FLT CREW FAILS TO MEET THE XING RESTR DURING APCH INTO MSP.

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MISSED ALT XING RESTR. DURING CRUISE; CAPT ENTERED XING RESTR OF 11000 FT AT TWINZ INTXN ON THE EAU 4 ARR INTO MSP. WE WERE LATER CLRED TO TWINZ INTXN AND; EVEN THOUGH NOT YET CLRED TO CROSS TWINZ AT 11000 FT; I CONFIRMED IT WAS ENTERED INTO THE FMC. SOON THEREAFTER; FOR SPACING INTO MSP; WE WERE CLRED BACK TO THE EAU VOR AND TO RESUME THE EAU 4 ARR. THE CAPT RESELECTED THE EAU 4 STAR INTO THE FMC; WHICH I CONFIRMED. HOWEVER; WE DID NOT RE-ENTER THE XING RESTR AT TWINZ. WHEN WE WERE LATER GIVEN THE RESTR TO CROSS TWINZ AT 11000 FT; I DID NOT CONFIRM THE ALT IN THE FMC. THE FMC DETERMINED ITS TOP OF DSCNT PATH USING THE NEXT ALT IN THE FMC WHICH WAS A POINT JUST OUTSIDE THE FAF FOR RWY 30R. I DID NOT REALIZE THIS UNTIL WE WERE TOLD TO CONTACT MSP APCH AT 4 DME PRIOR TO TWINZ. AT THAT TIME WE WERE DSNDING THROUGH FL180. I ADVISED THE CAPT OF MY ERROR AND HE ADVISED MSP APCH THAT WE WOULD NOT BE ABLE TO MAKE TWINZ AT 11000 FT. ATC SAID 'I CAN SEE THAT; MAINTAIN 7000 FT AND 250 KIAS.' WE RECEIVED THAT CLRNC ABOUT 2 MI PRIOR TO TWINZ. NEXT TIME; I'LL BE SURE TO VERIFY THE XING RESTR WITH THE FMC -- ESPECIALLY WHEN RESELECTING A NEW STAR.