AN H25A CREW; IN DSCNT; UNDERSHOT AN ASSIGNED ALT; MISSING A XING RESTR.

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ON AN IFR FLT PLAN FOR DFW TO UGN; WE WERE CRUISING AT FL390. ZAU CLRED US TO DSND AND MAINTAIN FL350. I STARTED A DSCNT AT 1000 FPM; COUPLED THE AUTOPLT TO VERT SPD AND STARTED DOWN. PASSING APPROX FL370; CTR GAVE A XING RESTR OF 50 MI S OF JOT AT FL240. THE SIC READ THE CLRNC BACK; AND WE BOTH VERIFIED IT AS HE SET FL240 INTO THE ALT PRESELECT. I THEN PROGRAMMED THE FMS TO CROSS 50 MI S OF JOT AT FL240; AND AS ALWAYS; THE PSEUDO GS APPEARED ON MY EFIS DISPLAY. I DIDN'T BOTHER TO DO THE MATH IN MY HEAD TO SEE HOW FAST WE HAD TO COME DOWN; I CHOSE TO RELY SOLELY ON THE FMS -- MY FIRST MISTAKE. THE GS ALWAYS POPS UP DEFLECTED ALL THE WAY UP. IN OTHER WORDS; IT'S TELLING YOU THAT YOU ARE BELOW THE GS. ONCE I SAW THAT; I TOLD MYSELF 'I DON'T NEED TO START DOWN YET; I'LL WAIT UNTIL THE GS NEEDLE INTERCEPTS; AND I'LL FOLLOW IT DOWN -- FOR THE TIME BEING; I'LL CONTINUE MY NICE 1000 FPM DSCNT.' I THEN DIVERTED MY ATTN BACK TO THE FMS; CONFIGURING IT FOR OUR ARR INTO UGN. PASSING THROUGH APPROX FL310; I NOTICED WE WERE ONLY 60 MI OUT OF JOT; AND REALIZED I HAD TURNED MY ATTN AWAY FROM OUR XING RESTR; HAD NOT INCREASED OUR RATE OF DSCNT AND AT THAT TIME I INCREASED THE RATE. AT THAT SAME TIME; CTR INQUIRED IF WE WERE GIVEN THE RESTR; AND WHAT RATE WERE WE DSNDING AT. WE ACKNOWLEDGED AND CURRENTLY WERE AT 2700 FPM AND INCREASING. WE WERE THEN TOLD TO TURN R HDG 090 DEGS AND GIVE OUR BEST RATE DOWN; WHICH I DID; AND DSNDED AT 4000 FPM. TO MY KNOWLEDGE WE CAUSED NO OTHER ACFT TO DIVERT; AND UPON REACHING FL240 WERE CLRED BACK ON COURSE. I WOULD SAY A CONTRIBUTING FACTOR WAS OVER AUTOMATION ON MY PART; AND UNFAMILIARITY WITH THE SYS OF A NEW AIRPLANE. WITH DUAL FMS'S; BOTH THE SIC AND MYSELF WERE INPUTTING INFO INTO OUR RESPECTIVE UNITS; RATHER THAN ONE OF US FLYING THE AIRPLANE (MYSELF). RATHER; I SHOULD HAVE LEFT THE PROGRAMMING TO THE SIC AND HAD HIM XFER THE INFO TO MINE; A PROC OUTLINED IN OUR SOP. IN THE FUTURE; I WILL TAKE CARE OF MY FIRST PRIORITY; FLYING THE AIRPLANE. SECOND; I WILL FOLLOW OUR SOP; AND THIRDLY LEAVE MY PRACTICING TILL WE'RE ON THE GND.