From known losses and kills such as analysed by danish author Christer Bergström, Luftskrid over kanalen (2006)
* Spitfire: 550 confirmable kills 329 losses -exchange ratio is 1.7: 1
* Hurricane: 750 confirmable kills 603 losses -exchange ratio 1.2: 1
* Bf 109 780 confirmable kills 534 losses – exchange ratio 1.5: 1
* Bf 110 340 confirmable kills 196 losses – exchange ratio 1.7: 1
The Bf-110 suffered from a negative exchange ratio only when forced to close escort orders in late august and early september 1940.
Williamson Murray, Luftwaffe strength 28 June 1940 1,107 Bf109 to 357 Bf110, or about 3 to 1 Bf19 to Bf110
Wood and Dempster, 10 August 1940, Bf109 1,101 establishment, 934 strength, 805 serviceable, Bf110 301 / 289 / 224, or over 3 to 1 Bf109 to Bf110.
So Bergstrom reports the Bf110 force scored about 1 confirmed kill for each of its initial strength, the Bf109 about 0.8. Then when you factor in multi engine multi crew aircraft generate fewer sorties per aircraft than single engine single seaters, and the close escort tactics, Bergstrom is reporting the Bf110 was a much better fighter than the Bf109, longer ranged, scoring as high as maybe 50% more confirmed kills per sortie over the course of the Battle of Britain, if allowed to optimise its tactics.
The Battle of Britain Then and Now says Fighter Command had 1,026 total losses for the Battle, with 798 due to enemy action and 40 more unknown, of the enemy action losses 672 are attributed to enemy fighters or enemy aircraft. Bergstrom has 1,120 confirmed kills by Luftwaffe fighters, which means up to another 450 non RAF Fighter Command aircraft are confirmed shot down, which would be mostly from Bomber Command and Coastal Command. Bergstrom says over the Battle of Britain the Luftwaffe fighters shot down 3 Fighter Command to 2 other RAF command aircraft. Bomber Command lost 382 aircraft in the period to all causes, 103 by day, 279 by night, 187 of the losses came down on British territory. Using Boiten's Nachtjagd War Diaries and the Bomber Command Losses series 15 day and 23 night losses are due to Luftwaffe fighters, 14 more losses are to unknown causes.
That still leaves hundreds from Coastal Command to make up the numbers, total all causes losses on operations for all of 1940 were 310, few are logged as lost to fighters, see Coastal Command Losses by Ross McNeill.
The old Luftwaffe kill claims list I have for the Battle of Britain has ZG26 and ZG76 but is missing ZG2, the ZG units logging 231 claims, some of which were disallowed, the JG units 1,894, again including some that were disallowed. Bergstrom more than halves the Bf109 claims, but must have several hundred more claims by Bf110 that the old list I have is missing.
Williamson Murray, losses to end September 1940, Bf109 398 enemy, 79 ops, 41 non ops, Bf110 214 enemy, 9 ops, 12 non ops
The Battle of Britain Then and Now listing, 10 July to 31 October has the total all causes losses on operations as Spitfire 353, Hurricane 569, Bf109 600, Bf110 248.
Bergstrom reports, July to October, Spitfire 394, Hurricane 603, Bf109 534, Bf110 196
Luftwaffe Quartermaster reports as translated by the RAF, July to October Bf109 600, Bf110 235, plus 18 night fighters.
Williamson Murray, Luftwaffe, table IX says in the July to September period the Luftwaffe single engined fighter units lost 47% of their original strength, the twin engined units 66%. For May and June 1940 Murray reports the Luftwaffe single engined fighter units lost 19% of their original strength, the twin engined units 30%, for May to September, single engined fighter units lost 57% of their original strength, the twin engined units 97%,
Bergstrom's total of confirmed kills by Luftwaffe fighters, at 1,120, is hundreds more than can be confirmed by RAF records and post war investigations, his fighter losses for the RAF higher and Luftwaffe lower than the air force records.
The main reported Bf110 failing was poor acceleration, which would be a big problem on close escort sorties.