Quinton Flowers has the most games with 2+ passing touchdowns and 3+ rushing touchdowns in a season, with 3 games in 2016.

Interpreted as:

most games by a player with 2 or more passing touchdowns and 3 or more rushing touchdowns, in a season

	NAME	GP	PASS TD	RUSH TD	SEASON	TM	CMP	ATT	PCT	YDS	AVG	YDS/G	INT	RTG	TD%	INT%	SCK	SCKY
1	Quinton Flowers Q. Flowers	3	6	9	2016	USF	70	98	71.4	737	7.5	245.7	3	148.7	6.1	3.1	1	3
2	Jayden Daniels J. Daniels	2	5	6	2022	LSU	44	60	73.3	597	10.0	298.5	0	184.4	8.3	0.0	5	24
3	Bo Nix B. Nix	2	5	6	2022	ORE	40	53	75.5	634	12.0	317.0	2	199.5	9.4	3.8	0	0
4	Eric Dungey E. Dungey	2	5	6	2018	SYR	42	61	68.9	648	10.6	324.0	1	181.9	8.2	1.6	3	28
5	Lamar Jackson L. Jackson	2	5	6	2017	LOU	44	78	56.4	725	9.3	362.5	1	153.1	6.4	1.3	2	7
6	Everett Golson E. Golson	2	5	6	2014	ND	32	47	68.1	610	13.0	305.0	1	208.0	10.6	2.1	2	23
7	Johnny Manziel J. Manziel	2	5	6	2012	TAMU	40	63	63.5	655	10.4	327.5	1	173.8	7.9	1.6
8	Dan Lefevour D. Lefevour	2	5	7	2009	CMU	45	58	77.6	659	11.4	329.5	0	201.5	8.6	0.0
9	Marquel Blackwell M. Blackwell	2	5	6	2001	USF	60	81	74.1	572	7.1	286.0	3	146.4	6.2	3.7
10	Alonza Barnett III A. Barnett III	1	2	4	2025	JMU	17	25	68.0	295	11.8	295.0	0	193.5	8.0	0.0	2	12
11	Nico Iamaleava N. Iamaleava	1	2	3	2025	UCLA	17	24	70.8	166	6.9	166.0	0	156.4	8.3	0.0	3	22
12	Lunch Winfield L. Winfield	1	2	3	2025	UL	7	13	53.8	125	9.6	125.0	0	185.4	15.4	0.0	0	0
13	Chandler Morris C. Morris	1	2	3	2025	UVA	26	35	74.3	229	6.5	229.0	3	131.0	5.7	8.6	2	10
14	Bryson Barnes B. Barnes	1	2	3	2025	USU	17	22	77.3	287	13.0	287.0	0	216.9	9.1	0.0	3	17
15	Haynes King H. King	1	2	3	2024	GT	26	36	72.2	303	8.4	303.0	0	161.3	5.6	0.0	1	1
16	Bryson Daily B. Daily	1	2	3	2024	ARMY	6	9	66.7	107	11.9	107.0	0	239.9	22.2	0.0	0	0
17	Blake Horvath B. Horvath	1	2	4	2024	NAVY	9	12	75.0	192	16.0	192.0	0	264.4	16.7	0.0	2	13
18	Levi Williams L. Williams	1	2	3	2023	USU	16	27	59.3	198	7.3	198.0	1	137.9	7.4	3.7	3	14
19	Frank Harris F. Harris	1	3	3	2023	UTSA	31	46	67.4	411	8.9	411.0	0	164.0	6.5	0.0	1	8
20	Dillon Gabriel D. Gabriel	1	5	3	2023	OKLA	23	36	63.9	423	11.8	423.0	0	208.4	13.9	0.0	2	14
21	Jalen Milroe J. Milroe	1	3	3	2023	ALA	15	22	68.2	234	10.6	234.0	1	193.4	13.6	4.5	0	0
22	Donovan Smith D. Smith	1	2	3	2023	HOU	24	42	57.1	260	6.2	260.0	1	120.1	4.8	2.4	3	20
23	Diego Pavia D. Pavia	1	3	3	2022	NMSU	16	21	76.2	214	10.2	214.0	0	208.9	14.3	0.0	1	5
24	Frank Harris F. Harris	1	2	3	2022	UTSA	11	14	78.6	103	7.4	103.0	1	173.2	14.3	7.1	0	0
25	Michael Pratt M. Pratt	1	3	3	2022	TULN	9	14	64.3	141	10.1	141.0	0	219.6	21.4	0.0	1	3