Cook pointed out how slow wickets in Bangladesh could be one of the reasons that the fielding has suffered.
Taijul Islam was Man of the Series for taking 18 wickets in two Tests at an average of 20.55.
Those before Taylor to score twin centuries in a Test are the Flower brothers Grant and Andy; Taylor first achieved the feat in 2013.
Having set Zimbabwe a massive target of 443, Bangladesh took the remaining eight wickets required on the final day before tea.
Scoring 85 runs from 31 overs can be viewed as good work given it is a day-five track, but Taylor and Moor will have to
Zimbabwe will have to bat out the entire five day to save the second Test against Bangladesh on Thursday.
Despite gaining a substantial first-innings lead of 218 runs, Bangladesh did not ask Zimbabwe to follow-on
Stand-in captain Mahmudullah's first Test hundred since 2010 set up a declaration at 224/6 on day four in Mirpur.
Mahmudullah progressed to his second Test century - the first since he made 115 in New Zealand eight years ago - and declared the innings
Bangladesh, who opted against enforcing the follow-on despite their 218-run first innings lead, reached 78/4 at lunch on the fourth day.
A 138-run stand between Brendan Taylor (110) and Peter Moor (88) offered Zimbabwe hope, but Bangladesh's spinners dominated.
Taijul had claimed 11 wickets in the first Test at Sylhet which Zimbabwe had won by 151 runs.
At stumps, Zimbabwe - who were dealt a blow in the form of Tendai Chatara ruled out of the Test - were 25/1.
The experienced wicketkeeper-batsman had in March 2013 scored Bangladesh’s first Test double-century, against Sri Lanka in Galle.
Chatara will play no further part in the second Test at Mirpur after suffering a leg injury.
Pakistan vs Sri Lanka - 1st Test 4
SL 282/6 OVERS: 91.5
Australia vs New Zealand - 1st Test 3
AUS 167/6 OVERS: 57.0
NZ 166 (55.2 Ovs)
AUS lead by 417 runs
SCO 188/6 OVERS: 40.3
USA 245/9 (50.0 Ovs)
SCO need 58 runs in 57 balls at 6.10 rpo
India vs West Indies - 1st ODI
15 Dec, 2019 13:30 IST
MA Chidambaram Stadium, Chennai
United Arab Emirates vs Scotland - Match 6
15 Dec, 2019 11:30 IST | 06:00 GMT
ICC Academy, Dubai
India vs West Indies - 1st ODI
15 Dec, 2019 13:30 IST | 08:00 GMT
MA Chidambaram Stadium, Chennai
India vs West Indies - 2nd ODI
18 Dec, 2019 13:30 IST | 08:00 GMT
Dr. Y.S. Rajasekhara Reddy ACA-VDCA Cricket Stadium, Visakhapatnam
Pakistan vs Sri Lanka - 2nd Test
19 Dec, 2019 10:15 IST | 04:45 GMT
National Stadium, Karachi
India vs West Indies - 3rd ODI
22 Dec, 2019 13:30 IST | 08:00 GMT
Barabati Stadium, Cuttack
United Arab Emirates vs USA - Match 4
USA beat United Arab Emirates by 98 runs
India vs West Indies - 3rd T20I
India beat West Indies by 67 runs
USA beat Scotland by 35 runs
Nepal vs Maldives - 3rd Place Play-off
Nepal beat Maldives by 5 wickets
Bangladesh Under-23 vs Sri Lanka Under-23 - Final
Match over